Practice and Problem-Solving Exercises

A Practice

See Problems 1 and 2.

Tell what number you would add to each side of the inequality to solve the inequality.

9. f − 6 ≥ − 3 f minus 6 greater than or equal to negative 3
10. 1 < d − 7 1 less than d minus 7
11. a − 3.3 ≥ 2.6 eh minus 3.3 greater than or equal to 2.6
12. 5 > − 18 + m 5 greater than negative 18 plus m

Solve each inequality. Graph and check your solutions.

13. y − 2 > 11 y minus 2 greater than 11
14. v − 4 < − 3 v minus 4 less than negative 3
15. − 6 > c − 2 negative 6 greater than c minus 2
16. 8 ≤ f − 4 8 less than or equal to f minus 4
17. t − 4 ≥ − 7 t minus 4 greater than or equal to negative 7
18. s − 10 ≤ 1 s minus 10 less than or equal to 1
19. 9 < p − 3 9 less than p minus 3
20. − 3 ≥ x − 1 negative 3 greater than or equal to x minus 1
21. 0 < − 1 3 + f 0 less than negative , 1 third , plus f
22. z − 12 ≤ − 4 z minus 12 less than or equal to negative 4
23. − 3 4 > r − 3 4 negative , 3 fourths , greater than r minus , 3 fourths
24. y − 1 ≥ 1.5 y minus 1 greater than or equal to 1.5
25. 4.3 > − 0.4 + s 4.3 greater than negative 0.4 plus s
26. − 2.5 > n − 0.9 negative 2.5 greater than n minus 0.9
27. c − 4 7 < 6 7 c minus , 4 sevenths , less than , 6 sevenths
28. p − 1 1 2 > 1 1 2 p minus 1 , and 1 half , greater than 1 , and 1 half

See Problem 3.

Tell what number you would subtract from each side of the inequality to solve the inequality.

29. x + 3 > 0 x plus 3 greater than 0
30. 9 < 7 5 + s 9 less than , 7 fifths , plus s
31. 6.8 ≥ m + 4.2 6.8 greater than or equal to m plus 4.2
32. l + 1 3 ≥ 7 3 l plus , 1 third , greater than or equal to , 7 thirds

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