Bob's carpet cleaning company uses the equation y=22x+30 to calculate cost, y, to clean x numbers of rooms. Andy's carpet cleaning company uses the table below to calculate the cost to clean rooms.
Laura needs 5 rooms cleaned. Which company charges less and by how much less?
Answers
Andy charges $135
Andy is cheaper
Related Questions
The inverse of x -> y is:
Answers
The inverse of the statement is if both terms are negated:
"not x" implies "not y"
We have cases where the statement is true (Rain implies clouds) but the inverse is false (not rain does not imply not clouds; it can be cloudy while it does not rain).
1. Simplify (4xy^2)^3(xy)^5
2. Simplify (2t^–3)^3(0.4r)^2
Thank you whoever answers so much!,
Answers
multiplication=add the exponents
x^2.x^3=x^5
power=multiply the exponents
(x^2)^3=x^6
1. (4xy^2)^3(xy)^5
(64x^3y^6)(x^5y^5)
64x^8y^11
2. (2t^-3)^3(0.4r)^2
(8t^-9)(0.16r^2)
0.16r^2/8t^9 or r^2/50t^9
Note main rules:
[tex]1.\quad (a\cdot b)^n=a^n\cdot b^n,\\ \\2.\quad a^m\cdot a^n=a^{m+n},\\ \\3.\quad (a^m)^n=a^{mn}.[/tex]
1. Consider expression [tex](4xy^2)^3(xy)^5.[/tex] Using previous rules:
1 step: [tex](4xy^2)^3=4^3\cdot x^3\cdot (y^2)^3=64x^3y^{2\cdot 3}=64x^3y^6;[/tex]2 step: [tex](xy)^5=x^5\cdot y^5;[/tex]3 step: [tex](4xy^2)^3(xy)^5=64x^3y^6x^5y^5=64x^{3+5}y^{6+5}=64x^8y^{11}.[/tex]2. Consider expression [tex](2t^{-3})^3(0.4r)^2.[/tex] Using previous rules:
1 step: [tex](2t^{-3})^3=2^3\cdot (t^{-3})^3=8t^{-3\cdot 3}=8t^{-9};[/tex]2 step: [tex](0.4r)^2=0.4^2\cdot r^2=0.16r^2;[/tex]3 step: [tex](2t^{-3})^3(0.4r)^2=8t^{-9}\cdot 0.16r^2=8\cdot 0.16t^{-9}r^2=1.28t^{-9}r^2.[/tex]Answer:
[tex]64x^8y^{11};[/tex][tex]1.28t^{-9}r^2.[/tex]??? quadrilateral abcd ??? is inscribed in this circle. what is the measure of angle c? enter your answer in the box. ?? a quadrilateral inscribed in a circle. the vertices of the quadrilateral lie on the edge of the circle and are labeled as a, b, c,
d. the interior angle a is labeled as left parenthesis 2 x plus 3 right parenthesis degrees. the angle b is labeled as left parenthesis 2 x minus 4 right parenthesis degrees. the angle d is labeled as left parenthesis 3 x plus 9 right parenthesis degrees.
Answers
When, you have a quadrilateral inscribed in a circle, measure of the opposites sides are supplementary (they add to 180). Therefore, we can write and solve the following equation with angles D and B to find the value of x in the problem.
3x + 9 + 2x - 4 = 180
5x + 5 = 180
5x = 175
x = 35
Now, input x = 35 into the expression for A to find that the measure of angle A is 73.
Since A and C are supplementary:
A + C = 180
73 + C = 180
C = 107
Answer:
∠C = 107°
Step-by-step explanation:
Quadrilateral ABCD is inscribed in a circle, and a quadrilateral inscribed in a circle is known as cyclic quadrilateral.
So, ABCD is cyclic quadrilateral.
∠A = 2x + 3
∠B = 2x - 4
∠D = 3x + 9
Also. the sum of opposite angles of the cyclic quadrilateral is supplementary.
⇒ ∠B + ∠D = 180
⇒ 2x - 4 + 3x + 9 = 180
⇒ 5x = 175
⇒ x = 35
Now, ∠A = 73
Also, ∠A + ∠C = 180
⇒ ∠C = 180 - 73
⇒ ∠C = 107°
△ABC has interior angles with measures x°, 100°, and 70°, and △DEF has interior angles with measures y°, 70°, and 20°. Using the given information, which statement is true? The triangles are similar because they each have an interior angle with a measure 70°. The two triangles are not similar because x≠y . The two triangles are not similar because y=90 so it is impossible to have three congruent angles. The two triangles are not similar because the interior angles are congruent but the side lengths are different.
Answers
△ABC has interior angles with measures x°, 100°, and 70°.
By using angle sum property, which states that the sum of measures of all three angles is 180 degrees.
[tex] x^{\circ}+100^{\circ}+70^{\circ}=180^{\circ} [/tex]
[tex] x^{\circ}=10^{\circ} [/tex]
Now, △DEF has interior angles with measures y°, 70°, and 20°.
By using angle sum property,
[tex] y^{\circ}+70^{\circ}+20^{\circ}=180^{\circ} [/tex]
[tex] y^{\circ}=90^{\circ} [/tex]
Now, we can say that,
"The two triangles are not similar because x≠y"
As one angle of measure 70 degree is common in both the triangles.
If 'x' would be equal to 'y' , then we could say that the triangles are similar by AA criteria.
Therefore, the two triangles are not similar because x is not equal to y.
4. Name a pair of corresponding angles
1. Angle 1 and angle 6
2. Angle 2 and angle 6
3. Angle 3 and angle 5
4. Angle 4 and angle 5
~
5.Use the figure. Assume that lines JL and MP are parallel
If m angle 4 =105°, then what is m angle 8?
1. 105°
2. 75°
3.175°
4.25°
Answers
(5) is 1. Angle 4 and 8 are corresponding giving them the same angle
For the given case the pair of angles are consecutive angles, corresponding angles, consecutive interior angles and alternate interior angles respectively and ∠8 = 105°. The correct option is (1).
What are parallel lines?The parallel lines are a group of straight lines that never intersect with one another. The distance between two parallel is always the same.
The given problem can be solved as follows,
(4) The pair of angles can be named as below,
(1) The angles ∠1 and ∠6 are called consecutive angles.
(2) The angles ∠2 and ∠6 are called corresponding angles.
(3) The angles ∠3 and ∠5 are called consecutive interior angles.
(4) The angles ∠4 and ∠5 are called alternate interior angles.
(5) The measure of ∠8 is given as below,
Since ∠4 and ∠8 are corresponding angles.
∠4 = ∠8 = 105°.
Hence, the names of the pair of angles are consecutive angles, corresponding angles, consecutive interior angles and alternate interior angles respectively and ∠8 = 105°.
To know more about parallel lines click on,
https://brainly.com/question/2456036
#SPJ2
the weight of a goat increased by 12 pounds is 38 pounds.write an equation to represent the situation.
Answers
x+12=38
can someone check my work. I don't know what I did wrong
Answers
m∠2 = 34 - the sum of the interior angles of all triangles is 180 degrees. If you set the sum of all three interior angles equal to 180 and solve for the missing interior angle measure, you will get 34.
180 = 51 + 95 + x
180 = 146 + x
34 = x
m∠3 = 95 - you're correct.
m∠4 = 38 - you're correct.
m∠5 = 47 - you're correct.
To find m∠6, first find m∠7.
m∠7 = 59 - angle 7 is supplementary with the 121° angle; together they are 180 degrees. If you solve 180 = 121 - x for x, you see that m∠7 is 59°.
m∠6 = 74 - 180 (the sum of the interior angles of every triangle) minus the other two angle measures yields the measure of angle 6.
A map of a public park shows a circular pond. there is a bridge along a diameter of the pond that is 0.85 mi long. you walk across the bridge, while your friend walks halfway around the pond to meet you at the other side of the bridge. how much farther does your friend walk? round your answer to the nearest hundredth. use 3.14 for π.
Answers
Your friend walked 3.14 x 0.85/2 = 1.33 miles approximately
To find the difference in the distances, subtract 1.33 and 0.85.
1.33 - 0.85 = 0.48 miles
Your friend walked 0.48 miles further.
Answer:
Your friend walks about 0.48 miles farther than you.
Step-by-step explanation:
Find the circumference of the park.
C = πd Use the circumference formula.
C ≈ 3.14(0.85) Substitute for the diameter and π.
C ≈ 2.669 Multiply.
The circumference of the park is about 2.669 centimeters.
Find how far your friend walks when he or she walks halfway around the pond to meet you on the other side of the bridge. Divide the circumference by two.
0.785 ÷ 2 = 1.33
Your friend walks 1.33 miles.
Find how much farther your friend walks. Subtract the miles you walk from the miles your friend walks. Round your answer to the nearest hundredth.
1.33 − 0.85 ≈ 0.48
Write a recursive definition for the set of odd positive integers.
Answers
a[n+1] = a[n] +2
Final answer:
A recursive definition for the set of odd positive integers starts with a base case of 1 and uses a recursive step where each subsequent odd integer is obtained by adding 2 to the current odd integer.
Explanation:
To write a recursive definition for the set of odd positive integers, you can define a base case and a recursive step. The base case is the smallest odd positive integer, which is 1. The recursive step will then generate the next odd integer by adding 2 to the current odd integer. Here's how you can express it:
Base case: Let O1 = 1, which establishes that 1 is the first odd positive integer.
Recursive step: For every odd positive integer On, there exists an On+1 = On + 2. This means that if you have an odd positive integer, the next one in the set can be found by adding 2 to the current one.
This definition ensures that every number generated by the recursive step will be odd since adding 2 to an odd number always results in another odd number, and starting from 1, guarantees that all numbers will be positive.
An artist wants to reduce the size of a drawing using a scale factor of 3:1 . The original drawing has an area of 720 square inches. What is area of the new drawing? Enter your answer in the box. in²
Answers
3/1=720/x
Cross multiply you get 3x=720
Solve for x which is 720/3
New area is 240 square inches
Answer: The area of the new drawing is 240 in².
Step-by-step explanation:
Hi, to answer this we have to use ratios:
Since the ratios is 3:1, it means that 3 units are equal to 1: 3/1
So, 720 units will be equal to x : 720/x
3/1 = 720/x
Solving for x:
x = 720/ (3/1)
x = 720/3
x = 240 in²
The area of the new drawing is 240 in².
Feel free to ask for more if needed or if you did not understand something.
What is the inverse of the following statement? If you live in Toronto, then you live in Canada
Answers
---------------------------------------------------------------
You simply attach a "not" to each piece of the conditional. Effectively you are negating each part. The general form of a conditional is "If P, then Q" where P and Q are placeholders for statements.
In this case
P = you live in Toronto
Q = you live in Canada
The inverse of "If P, then Q" is "If not P, then not Q"
The inverse of the statement "If you live in Toronto, then you live in Canada" is:
"If you do not live in Toronto, then you do not live in Canada."
What is a conditional statement?A conditional statement is a type of logical statement that consists of two parts: a hypothesis (or antecedent) and a conclusion (or consequent).
The hypothesis is a statement that serves as a condition, while the conclusion is a statement that follows from the condition.
A conditional statement is usually written in the form "If p, then q", where p is the hypothesis and q is the conclusion.
The symbol "→" is often used to represent the phrase "if...then".
We have,
To make the inverse of a conditional statement "if p, then q", you simply negate both the hypothesis and the conclusion, and then switch their positions.
The inverse of "if p, then q" is "if not p, then not q".
This can be symbolically represented as:
Original Statement: If p, then q
Inverse Statement: If not p, then not q
So,
The inverse of a conditional statement:
If p, then q is If not p, then not q".
Therefore,
The inverse of the statement "If you live in Toronto, then you live in Canada" is:
"If you do not live in Toronto, then you do not live in Canada."
Learn more about conditional statements here:
https://brainly.com/question/29467149
#SPJ7
In which quadrant of the coordinate graph does point F lie?
Answers
The sign notations for four Quadrants is as follows:
Quadrant I : both x and y positive.
Quadrant II : x negative and y positive
Quadrant III: x and y both negative.
Quadrant IV: x positive and y negative.
Point F has coordinates (1,-5)
x is positive and y is negative.
So point F is in quadrant IV.
PUTTING MAX POINTS
Find all polar coordinates of point P where P = (6, -π/5)
Answer choices:
(6, -π/5 + 2nπ) or (-6, -π/5 + 2nπ)
(6, -π/5 + 2nπ) or (-6, -π/5 + (2n + 1)π)
(6, -π/5 + (2n + 1)π) or (-6, -π/5 + 2nπ)
(6, -π/5 + 2nπ) or (6, π/5 + (2n + 1)π)
Answers
Your answer should be d
which sampling method would most likely be used in a poll of voters regarding a referendum calling for a national gun control standardization?
(A) Use satisfied random sampling
(B) Use simple random sampling
(c) Use convenience sampling
(D) Use cluster sampling
(E) Use systematic random sampling
Answers
Answer:
(A) Use stratified random sampling
Step-by-step explanation:
Since, the population include all the citizens of that country so it is quite large data and working on this population is quite time taken and costly. Thus, Sample must be taken and it must be taken by appropriate sampling method.
Here Stratified Sampling is used because by this sampling method peoples of every state, every cities, every village can be taken without much expense and in less time.
Further,
If the samples from the population are chosen randomly, where each and every unit has an equal chance of selection in a sample. This type of sampling is called Simple Random Sampling.
If the observers collect the sample as his\her convenience, then this type of sampling method is called Convenience Sampling.
In Cluster Sampling the population is distributed into a distinct group (clusters) and one or more groups (clusters) are chosen as a sample.
In Systematic Sampling the selection of sample is taken by some criteria . Like he\she is taken every 7th unit as a sample from the population.
A collection of quarters and dimes is worth $6.75. The number of dimes is 4 less than three times the number of quarters. How many quarters and dimes are in the collection?
Answers
Hope this helps!!:)
Have a good day!!:D
Plz mark brainliest!!XD
Is this done correctly or incorrectly??
PLEASE LET ME KNOW
PLZ HELP ASAP
Answers
MATH HELP LEASE WILL GIVE BRAINLIEST!!!
What is the value of θ for the acute angle in a right triangle?
sin(θ) = cos(58°)
Question 4 options:
32°
58°
122°
29°
Answers
The 1st selection is appropriate.
A rental company charges $9.50 per hour for a scooter plus a $15 fee. Write an equation in slope- intercept form for the total rental cost C of renting a scooter for h hours
Answers
C=$9.50h+15
Which situation best represents a proportional relationship?
a. sandra sold 2 bracelets for $3 and 3 bracelets for $6.
b. jeff ran 4 miles in 20 minutes and 6 miles in 24 minutes.
c. lamont packed 27 glasses in 9 cases and 81 glasses in 27 cases.
d. fernanda placed 8 pencils in 2 boxes and 16 pencils in 8 boxes?
Answers
y = mx
where y and x are the 2 variables and m is a constant value
directly proportional means when one variable increases or decreases the other variable too increases or decreases by the same amount.
a)
2 bracelets sold for $3
1 bracelet costs - 3/2
therefore 3 bracelets would cost 3/2 * 3 = $4.5
but the cost of 3 bracelets in this case is $6 therefore this is not a proportional relationship
b)
time taken for 4 miles - 20 minutes
time taken for 1 mile - 20/4
Therefore 6 miles time taken = 20/4 * 6 = 30 minutes
but it has taken only 24 minutes to run 6 miles therefore this is not a proportional relationship
c)
number of glasses in 9 cases - 27
glasses in 1 case - 27/9
therefore glasses in 27 cases - 27/9 * 27 = 81 glasses
in the given scenario , 81 glasses were packed in 27 cases therefore this is a proportional relationship
d)
number of pencils in 2 boxes - 8
number of pencils in 1 box - 8/2
number of pencils in 8 boxes - 8/2 * 8 = 32
however in this case only 16 pencils in 8 boxes so this too is not a proportional relationship
correct answer with a proportional relationship is C
a shop made a profit of £23500 in 2009. in 2010 the profit increased to £28000.work out the percentage increase in profit, to the nearest 1%
Answers
now, if we take 23500 to be the 100%, what is 4500 off of it in percentage?
[tex]\bf \begin{array}{ccll} amount&\%\\ \text{\textemdash\textemdash\textemdash}&\text{\textemdash\textemdash\textemdash}\\ 23500&100\\ 4500&p \end{array}\implies \cfrac{23500}{4500}=\cfrac{100}{p}\implies p=\cfrac{4500\cdot 100}{23500}[/tex]
Anybody have any answers?
Answers
x+112=2*93
x=2*93-112
x=74
Which of the following are characteristics of the graph of the quadratic parent function?
A. It has one intercept.
B. It opens down.
C. It has a vertex at (0, 0).
D. It is U-shaped.
Answers
Answer:
The correct options are A, C and D.
Step-by-step explanation:
The quadratic parent function is
[tex]f(x)=x^2[/tex]
The properties of quadratic parent function are:
1. It has one intercept, i.e, x- and y-intercept are at origin.
2. It has a vertex at (0, 0).
3. It is U-shaped.
4. Each image y has two preimage, except 0.
5. It opens up.
From the given option one the option B is incorrect because the quadratic parent function opens upward.
Therefore the correct options are A, C and D.
Find the equation (in slope-intercept form) of the line with the given slope that passes through the point with the given coordinates. slope: −2, ordered pair: (−5,1)
Answers
The equation of line is, y= -2x-9.
what is slope?A line's slope is determined by how its y coordinate changes in relation to how its x coordinate changes. y and x are the net changes in the y and x coordinates, respectively. Therefore, it is possible to write the change in y coordinate with respect to the change in x coordinate as,
m = Δy/Δx
where, m is the slope
Given:
slope= -2
points= (-5, 1)
Now, using slope intercept form
y= mx+ b
1 = (-2)((-5) + b
1= 10 + b
b= -9
Thus, the equation of line
y= mx + b
y= -2x- 9
Hence, the equation of line is, y= -2x-9.
Learn more about slope here:
https://brainly.com/question/3605446
#SPJ2
The number of mosquitoes in anchorage, alaska (in millions of mosquitoes) as a function of rainfall (in centimeters) is modeled by: m(x)=-x^2+14xm(x)=−x 2 +14xm, left parenthesis, x, right parenthesis, equals, minus, x, start superscript, 2, end superscript, plus, 14, x how many centimeters of rain will produce the maximum number of mosquitoes?
Answers
To find the maximum function, the first thing to do is to obtain the first derivative:
m '(x) = - 2x + 14
We match zero:
0 = -2x + 14
We clear x:
x = 14/2 = 7
x = 7
We verify that this value is a maximum through the second derivative:
m '' (x) = - 2
m '' (7) = - 2 (<0 therefore it is a maximum)
Answer:
7 centimeters of rain will produce the maximum number of mosquitoes.
Answer:
Step-by-step explanation:
49 million misquitos
PLEASE HELP ASAAAPPPPP
Answers
Hope this really helps
Triangle DEF is circumscribed about circle R. Points S, T and U are points of tangency where SD = 4 m and UF = 7 m. What is the measure of DF
Answers
In a circle inscribed within a triangle, the distance from each vertex of the triangle to the two nearest touchpoints (points of tangency on the circle) are equal. Since SD=4, DT=4 as well. Since UF=7, then FT=7.
DF=DT+TF=4+7=11.
Using the similar triangles which equation could be used to find the slope of line AB
Answers
The equation that could be used to find the slope of line AB is m = p/q.
What are similar triangles?Two triangles are said to be similar if they have congruent corresponding angles and their corresponding sides are in equal proportion.
Given that, is a graph showing two similar triangles, we need find the equation of the slope of the line AB.
So,
The slope = rise / run = Δy / Δx
Here, Δy / Δx = m/n
Since, the triangles are similar so, m/n = p/q
Therefore,
Δy / Δx = p/q
Hence, the equation that could be used to find the slope of line AB is m = p/q.
Learn more about similar triangles, click;
https://brainly.com/question/14926756
#SPJ2
what two numbers multiplies to -90 and add to -8
Answers
Final answer:
The two numbers that multiply to -90 and add up to -8 are -10 and 2. This is found by factoring -90 and checking different factor pairs until the correct one is identified.
Explanation:
The student is asking for two numbers that when multiplied result in -90, and when added result in -8. This is a factorization problem that can be addressed by setting up a system of equations or by using intuition to guess and check pairs of factors. We are looking for a pair of numbers that have one positive and one negative number, because the product is negative (-90), and the sum is also negative (-8).
By listing out the factors of 90, we can test which pair of numbers, with one being negative, would multiply to -90 and add up to -8. After some trial and error, we find the pair that works are -10 and 9. -10 × 9 = -90 and -10 + 9 = -1. However, since the sum needs to be -8, then the correct pair is -10 and 2, because -10 × 2 = -20 and -10 + 2 = -8.
3. If the volume of a cube of wood is15.625 cm3 and its mass is 10.00 grams, show the calculation for the density of the wood. @ganeshie8 @SolomonZelman,
Answers
density of wood = 0.64 gm/cm³
Explanation:
Density of a substance can be calculated as follows:
density = [tex] \frac{mass}{volume} [/tex]
We are given that:
mass of wood = 10 grams
volume of wood = 15.625 cm³
Substitute with the givens in the above equation to get the density as follows:
density = [tex] \frac{10}{15.625} [/tex] = 0.64 grams / cm³
Hope this helps :)
Answer:
The density of the wood is, 0.64 [tex]g/cm^3[/tex]
Step-by-step explanation:
Using the density formula:
[tex]\text{density} = \frac{\text{mass}}{\text{Volume}}[/tex] .....[1]
As per the statement:
If the volume of a cube of wood is 15.625 cm3 and its mass is 10.00 grams.
⇒Volume = 15.625 cubic cm and mass = 10 gram
Substitute the given values in [1] we have;
[tex]\text{density} = \frac{10}{15.625}[/tex]
Simplify:
density = 0.64 [tex]g/cm^3[/tex]
Therefore, the density of the wood is, 0.64 [tex]g/cm^3[/tex]
PLEASE HELP!!! 100 POINTS!!! WILL GIVE BRAINLIEST!!!!
Graph the two lines:
2x + 3y = 18
3x -4y > 16.
Give the Domain and Range, Slope, and Y-intercept for each line.
Graph each equation above on the graph below and show all work.( Or tell me how to graph it)
Give the Domain and Range, Slope, and Y-intercept for each line. Explain in detail how you got each answer.
2x + 3y = 18 3x -4y > 16
Slope-Intercept Form: Slope-Intercept Form:
Domain: Domain:
Range: Range:
Slope: Slope:
Y-intercept: Y-intercept:
Answers
[tex]2x + 3y = 18[/tex]
DOMAIN IS ALL REAL NUMBERS
RANGE IS ALL REAL NUMBERS
SLOPE IS -2/3
Y INTERCEPT IS (0,6)
SLOPE INTERCEPT FORM
[tex]y = \frac{ - 2}{3} x + 6[/tex]
for the equation
[tex]3x - 4y > 16[/tex]
DOMAIN IS ALL REAL NUMBERS
RANGE IS ALL REAL NUMBERS
SLOPE IS 3/4
Y INTERCEPT IS (0,-4)
SLOPE INTERCEPT
[tex]y < \frac{3}{4} x - 4[/tex]
[tex]2x + 3y = 18[/tex]
[tex]3x -4y \ \textgreater \ 16[/tex]
They are written in standard form, [tex]ax+by=c[/tex], so our first step is to convert them into slope-intercept form, [tex]y=mx+b[/tex], where m is the slope and b is the y-intercept.
We rearrange to basically solve for y in each function.
1) [tex]2x + 3y = 18 \\ 3y = -2y+18 \\ y= \frac{-2}{3}y+6[/tex]
2) [tex] -4y\ \textgreater \ -3x+16[/tex]
We divide by –4 to isolate y, but remember when multiplying or dividing with a negative number in an inequality, we flip the sign of the inequality.
[tex]y \ \textless \ \frac{3}{4}x-4[/tex]
This gives us our slope-intercept forms for each.
For the domain, each function is defined for all real x. This is a property of linear (and polynomial) functions. The inequality does not affect this.
The range, however, is a bit tricky. The range of a linear or polynomial function is always all real numbers y. It might be tempting to restrict it for an inequality, however, the range is still all reals.
In set-builder notation, we write for the domains of both functions: {[tex]x \ | \ all \ real \ numbers[/tex]}. For the ranges, we write {[tex]y \ | \ all \ real \ numbers[/tex]}.
In interval notation, we write [tex](- \infty, \infty)[/tex] for both the domain and range.
To obtain the slope and y-intercept, we look back to the functions in slope-intercept form, [tex]y=mx+b[/tex], again where m is the slope and b is the y-intercept.
For the equation, we have
[tex]m= \dfrac{-2}{3} [/tex]
and [tex]b=6[/tex].
For the inequality, we have
[tex]m= \dfrac{3}{4} [/tex]
and [tex]b=-4[/tex].
We can use the slope and y-intercept to graph each function. Remember that an inequality with less than or greater than (i.e., no "equal to" part) is represented with a dotted line.
To find where you shade the inequality, think about its sign. Since y is less than the expression, we shade below the line. We can also verify this by plugging in a test-point above or below the line and shading the region where the test-point is a valid solution.
See the graphed solution set attached.