B Apply

Graph each inequality on a coordinate plane.

30. 5 x − 2 y ≥ − 10 5 x minus 2 y greater than or equal to negative 10
31. 2 x − 5 y < − 10 2 x minus 5 y less than negative 10
32. 3 4 x + 2 3 y > 5 2 3 fourths , x plus , 2 thirds , y greater than , 5 halves
33. 3 ( x − 2 ) + 2 y ≤ 6 3 open x minus 2 close plus 2 y less than or equal to 6
34. | x − 1 | > y + 7 vertical line x minus 1 vertical line greater than y plus 7
35. y − | 2 x | ≤ 21 y minus , vertical line 2 x vertical line less than or equal to 21
36. 2 3 x + 2 ≤ 2 9 y 2 thirds , x plus 2 less than or equal to , 2 ninths , y
37. 0.25 y − 1.5 x ≥ − 4 0.25 , y minus 1.5 x greater than or equal to negative 4
38. Think About a Plan The graph below relates the number of hours you spend on the phone to the number of hours you spend studying per week. Describe the domain for this situation. Write an inequality for the graph.
    • What is the least amount of time you can spend on the phone per week? What is the most?
    • What is the least amount of time you can spend studying per week? What is the most?
    • What is the greatest amount of time you can spend either on the phone or studying per week?

Write an inequality for each graph.

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45. Which graph best represents the solution of the inequality y ≥ 2 | x − 1 | − 2 ? y greater than or equal to 2 vertical line x minus 1 vertical line negative 2 question mark
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46. The graph below relates the amount of gas in the tank of your car to the distance you can drive.

    

    1. Describe the domain for this situation.
    2. Why does the graph stop?
    3. Why is only the first quadrant shown?
    4. Reasoning Would every point in the solution region be a solution?
    5. Write an inequality for the graph.
    6. What does the coefficient of x represent?

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