## ilovenyc 2 years ago 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.

1. ilovenyc

2. LogicalApple

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

3. ilovenyc

@LogicalApple so it be C

4. LogicalApple

Yes

5. ilovenyc

could you help me with another

6. LogicalApple

ok

7. ilovenyc

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.

8. LogicalApple

Can you identify the slope of this line ?

9. ilovenyc

(-6,3)?

10. LogicalApple

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

11. ilovenyc

@LogicalApple thank you, can you help me with another

12. LogicalApple

ok

13. ilovenyc

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

14. LogicalApple

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

15. ilovenyc

|dw:1357008327270:dw|

16. LogicalApple

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.

17. ilovenyc

@LogicalApple is it x > = -7

18. LogicalApple

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

19. ilovenyc

so the answer is B? @LogicalApple

20. LogicalApple

Yes

21. ilovenyc

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

22. LogicalApple

sure!

23. ilovenyc

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

24. LogicalApple

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

25. ilovenyc

@LogicalApple is it D

26. LogicalApple

Yes it is :)

27. ilovenyc

@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

28. LogicalApple

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

29. ilovenyc

@LogicalApple is it A

30. LogicalApple

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

31. ilovenyc

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

32. LogicalApple

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

33. ilovenyc

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

34. ilovenyc

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

35. LogicalApple

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

36. ilovenyc

would it be B @LogicalApple ?

37. 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

38. ilovenyc

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

39. LogicalApple

You will get the hang of it :)

40. ilovenyc

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

41. LogicalApple

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?

42. ilovenyc

@LogicalApple so would the answer be A?

43. LogicalApple

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

44. ilovenyc

150 so it would be B @LogicalApple

45. LogicalApple

Perfect

46. ilovenyc

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

47. LogicalApple

You too! Happy 2013