Inequality Practice
Solve each inequality. Graph each solution on a number line.
| 1. | x + 2 0 | 2. | 2 - 3n > 14 | 3. | 5 � 2y + 7 |
| 4. | 6a > -18 | 5. | -m/2 < 10 | 6. | 4 � 2p/-5 |
| 7. | 9 - 3x > 9 | 8. | -4r + 7 < 27 | 9. | -12 < 5b + 3 |
| 10. | 13 - d/2 � 5 | 11. | 6c - 11 > 4 | 12. | 17 + 10v � -8 |
Solve each inequality. Graph each solution on a number line. If there is no solution, say so.
| 13. | 26 - 8t > 5t | 14. | 2k + 25 < 7k | 15. | -1/3x � 5/3x - 6 |
| 16. | -7n < 2.5 - 7n | 17. | -3/8 y > 15/4 | 18. | 1/6q - 1 >1/3q |
| 19. | 12u < -3(5 - 4u) | 20. | -3b - 9 > 3(b + 4) | 21. | -4c > 2(5 - 2c) |
| 22. | 3(5 - 1/3p) < p + 5 | 23. | 2.5z - 7 � 0.25(z + 8) | 24. | 6w - 5 > 2(4w - 1) |
| 25.
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Two sides of a triangle have lengths 5 and 13. What is
the range of possible lengths for the third side? Write your answer as two
inequalities |
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| 26.
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Emilio and Woh Yan were planning to bicycle to the beach right
after school. Emilio had to see a teacher first and left 10 min after Woh Yan.
"Don't worry, Woh Yan" Emilio said, "I'll beat you there."
Suppose Woh Yan bikes at 8 mi/h and Emilio bikes at 12 mi/h. a. Suppose Emilio keeps his word. Write and solve an inequality for the distance d to the beach. b. State the range of possible times it might take Emilio to get to the beach. |
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| 27. | Open-Ended Problem Describe a situation involving money that can be modeled by an inequality. Write and solve the inequality. | ||||