✓ Lesson Check

Do you know HOW?

Match the inequality with its graph.

1. x + 2 > − 1 x plus 2 greater than negative 1	A.
2. − x 3 < − 1 negative , x over 3 , less than negative 1	B.
3. x − 4 ≤ − 1 x minus 4 less than or equal to negative 1	C.
4. − 3 x ≥ 9 negative 3 x greater than or equal to 9	D.

Do you UNDERSTAND?

5. Which operation would you use to solve the inequality? Explain.
   1. 1 ≤ − x 2 1 less than or equal to negative , x over 2
   2. y − 4 > − 5 y minus 4 greater than negative 5
   3. − 6 w < − 36 negative 6 w less than negative 36
6. Error Analysis Describe and correct the error in the solution.

   

Practice and Problem-Solving Exercises

A Practice

See Problems 1 and 2.

Solve each inequality. Graph and check your solution.

7. x 5 ≥ − 2 x over 5 , greater than or equal to negative 2
8. w 6 < 1 w over 6 , less than 1
9. 4 > p 8 4 greater than , p over 8
10. 1 ≤ − 5 4 y 1 less than or equal to negative , 5 fourths , y
11. − v 2 ≥ 1.5 negative , v over 2 , greater than or equal to 1.5
12. − 3 < x 3 negative 3 less than , x over 3
13. − 7 ≤ 7 3 x negative 7 less than or equal to , 7 thirds , x
14. 8 > 2 3 k 8 greater than , 2 thirds , k
15. 0 ≤ − 3 11 m 0 less than or equal to negative , 3 elevenths , m
16. − 3 2 b < 6 negative , 3 halves , b less than 6
17. − 3 4 < − 3 8 m negative , 3 fourths , less than negative , 3 eighths , m
18. − 5 ≥ − 5 9 y negative 5 greater than or equal to negative , 5 ninths , y

See Problems 3 and 4.

Solve each inequality. Graph and check your solution.

19. 3 m ≥ 6 3 m greater than or equal to 6
20. 4 t < − 12 4 t less than negative 12
21. − 30 > − 5 c negative 30 greater than negative 5 c
22. − 4 w ≤ 20 negative 4 w less than or equal to 20
23. 11 z > − 33 11 z greater than negative 33
24. 56 < − 7 d 56 less than negative 7 d
25. 18 b ≤ − 3 18 b less than or equal to negative 3
26. − 7 y ≥ 17 negative 7 y greater than or equal to 17
27. − 5 h < 65 negative 5 h less than 65
28. 8 t ≤ 64 8 t less than or equal to 64
29. 63 ≥ 7 q 63 greater than or equal to 7 q
30. − 12 x > 132 negative 12 x greater than 132

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