Which of the following inequalities matches the graph? (see attached photo)
A y less than or greater to –one halfx - 4
B y > –one halfx - 4
C y < –one halfx - 4
D The correct inequality is not listed.

- anonymous

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- anonymous

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- anonymous

It looks like the slope of the line is -1/2 x, and the y-intercept is -4.
The shaded region is below this line so that means y is less than -1/2 - 4
If the line was solid instead of dashed it would be y <= -1/2 x - 4 but since it is dashed we just say y < -1/2 x - 4

- anonymous

@LogicalApple so it be C

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- anonymous

Yes

- anonymous

could you help me with another

- anonymous

ok

- anonymous

Which of the following inequalities matches the graph? (See attached photo)
A -6x + y < 3
B 6x + y < 3
C 6x - y < -3
D The correct inequality is not listed.

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- anonymous

Can you identify the slope of this line ?

- anonymous

(-6,3)?

- anonymous

It's hard to say but it looks like that is a slope of 6x with a y-intercept of 3
So the equation of the line is y = 6x + 3
But since the shaded region is above the line this becomes
y > 6x + 3
Rewriting this becomes
y - 6x > 3
Then if we multiply both sides by -1 and change the inequality:
6x - y < -3

- anonymous

@LogicalApple thank you, can you help me with another

- anonymous

ok

- anonymous

Which of the following inequalities matches the graph? (see attached photo)
A x greater than or equal to -7
B x less than or greater to -7
C y less than or greater to -7
D y greater than or equal to -7

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- anonymous

Do you mean "less than or equal to" for B and C?

- anonymous

|dw:1357008327270:dw|

- anonymous

Ah ok. This line is vertical and crosses x = -7
So it is either x >= -7 or x <= -7. Which one do you think? Notice which side of the line the shaded region is at.

- anonymous

@LogicalApple is it x > = -7

- anonymous

The shaded region is to the left of -7, so that would indicate less than -7. Since the line is solid, it is less than or equal.
x <= -7

- anonymous

so the answer is B? @LogicalApple

- anonymous

Yes

- anonymous

@LogicalApple okay i only have 4 more questions could you help me with them?

- anonymous

sure!

- anonymous

Which of the following inequalities matches the graph? (See attached photo)
A x < 2
B y > 2
C y < 2
D x > 2

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- anonymous

The dashed line is vertical and passes through 2. The shaded region lies to the right.
It is A or D ?

- anonymous

@LogicalApple is it D

- anonymous

Yes it is :)

- anonymous

@LogicalApple Which of the following inequalities matches the graph? (see attached photo)
A x less than or greater to 0
B x greater than or equal to 0
C y less than or greater to 0
D y greater than or equal to 0

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- anonymous

The line is solid and horizontal. The shaded region is below 0. What is your choice?

- anonymous

@LogicalApple is it A

- anonymous

The line is y = 0, but the shaded region is less than or equal to this. So y <= 0

- anonymous

@LogicalApple thats A, do you need me to draw all of them again?

- anonymous

I think based on what you wrote down, it is C.
It should be "y is less than or equal to 0"

- anonymous

@LogicalApple okay thanks i'll send you the next one

- anonymous

Which of the following inequalities matches the graph? (see attached photo)
A x less than or greater to -1
B x greater than or equal to -1
C y less than or greater to -1
D y greater than or equal to -1

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- anonymous

Which one do you think ? The line is y = -1 and it is solid. And the shaded region is above it.

- anonymous

would it be B @LogicalApple ?

- anonymous

Nope. Remember that any time you see a horizontal line, it's going to be y. If it is a vertical line it's going to be x.
The solid line is actually y = -1, and the region shaded is greater than or equal to it.
So y >= -1 or D

- anonymous

you know i was stuck on B and D lol @LogicalApple

- anonymous

You will get the hang of it :)

- anonymous

The non-profit organization you volunteer for is throwing a fundraiser cookout. You are in charge of buying the hamburgers, which cost $3 per pound and hotdogs, which cost $2 per pound. The meat budget you are given totals $600. The inequality 3x + 2y less than or greater to 600 represents the possible combinations of pounds of hamburgers (x) and hotdogs (y) you can buy. (see attached photo)
Which of the following represents a solution to the inequality?
A 200 pounds of hamburgers and 140 pounds of hotdogs
B 150 pounds of hamburgers and 60 pounds of hotdogs
C 100 pounds of hamburgers and 240 pounds of hotdogs
D 240 pounds of hamburgers and 40 pounds of hotdogs

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- anonymous

If hamburgers are on the x axis and hotdogs on the y axis, the points become
A: (200, 140)
B: (150, 60)
C: (100, 240)
D: (240, 40)
Now the question is, which one of these points is either on the line or inside the shaded region?

- anonymous

@LogicalApple so would the answer be A?

- anonymous

I plotted the points -- which one is within the shaded region?

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- anonymous

150 so it would be B @LogicalApple

- anonymous

Perfect

- anonymous

@LogicalApple that was it! THANKS for all your help! have a great new year! :)

- anonymous

You too! Happy 2013

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