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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.

Mathematics
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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
@LogicalApple so it be C

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Other answers:

Yes
could you help me with another
ok
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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Can you identify the slope of this line ?
(-6,3)?
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
@LogicalApple thank you, can you help me with another
ok
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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Do you mean "less than or equal to" for B and C?
|dw:1357008327270:dw|
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.
@LogicalApple is it x > = -7
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
so the answer is B? @LogicalApple
Yes
@LogicalApple okay i only have 4 more questions could you help me with them?
sure!
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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The dashed line is vertical and passes through 2. The shaded region lies to the right. It is A or D ?
Yes it is :)
@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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The line is solid and horizontal. The shaded region is below 0. What is your choice?
The line is y = 0, but the shaded region is less than or equal to this. So y <= 0
@LogicalApple thats A, do you need me to draw all of them again?
I think based on what you wrote down, it is C. It should be "y is less than or equal to 0"
@LogicalApple okay thanks i'll send you the next one
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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Which one do you think ? The line is y = -1 and it is solid. And the shaded region is above it.
would it be B @LogicalApple ?
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
you know i was stuck on B and D lol @LogicalApple
You will get the hang of it :)
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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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?
@LogicalApple so would the answer be A?
I plotted the points -- which one is within the shaded region?
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150 so it would be B @LogicalApple
Perfect
@LogicalApple that was it! THANKS for all your help! have a great new year! :)
You too! Happy 2013

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