Inequality Practice | CCTT MathSummer

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.
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

26. 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.

27. Open-Ended Problem Describe a situation involving money that can be modeled by an inequality. Write and solve the inequality.

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

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.	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
26.	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.
27.	Open-Ended Problem Describe a situation involving money that can be modeled by an inequality. Write and solve the inequality.