Concept Check Write an inequality involving the variable x that describes each set of num-
bers graphed.
7. 8.
160 CHAPTER 2 Linear Equations and Inequalities in One Variable
–4 –3 –2–1 0 123 –4 –3 –2 –1 0 1 2 3 4
–2 –1 0 1 2 3 4 5 –2–1 0 1 2 3 4 5
Write each inequality in interval notation, and graph the interval. See Example 1.
Solve each inequality. Write the solution set in interval notation, and graph it. See Example 2.
- 25.Under what conditions must the inequality symbol be reversed when solving an inequality?
26.Concept Check If and , which one of the following statements is false?
A. B. C. D.
Solve each inequality. Write the solution set in interval notation, and graph it. See Example 3.
36. 37. 38.
Solve each inequality. Write the solution set in interval notation, and graph it. See Examples
4 and 5.
55.
56.
57.
- 213 z- 52 + 41 z+ 62 Ú 213 z+ 22 + 3 z- 15
512 k+ 32 - 21 k- 827312 k+ 42 +k- 2
2 y- 14 y+ 3276 y+ 31 y+ 42
4 x- 16 x+ 12 ... 8 x+ 21 x- 32
7
9
1 y- 42 ...
4
3
1 y+ 52
2
3
1 p+ 327
5
6
1 p- 42
51 x+ 32 - 6 x... 312 x+ 12 - 4 x 21 x- 52 + 3 x 641 x- 62 + 1
51 t- 12731 t- 22 71 m- 22641 m- 42
- x+ 4 + 7 x...- 2 + 3 x+ 6 14 y- 6 + 7 y 74 + 10 y- 10
6 x+ 3 +x 62 + 4 x+ 4 - 4 w+ 12 + 9 wÚw+ 9 +w
5 r+ 1 Ú 3 r- 9 6 t+ 363 t+ 12
8 x+ 9 ...- 15 6 x+ 7 ...- 17
- 0.02x...0.06 -0.03vÚ-0.12
7
8
t6- 14
-
3
4
6 mÚ- 24 - 8 t 724 - 7 x 749
3 x 618 5 x 635 2 yÚ- 20
pr 6 qr pr 7 qr p+r 6 q+r p-r 6 q-r
p 6 q r 60
3 x+ 7 Ú 2 x+ 11 3 n+ 562 n- 6 5 x- 264 x- 5
z- 8 Ú- 7 p- 3 Ú- 11 2 k+ 3 Úk+ 8
-
3
4
1
2
m 75 0 Úx 1 Úx ...x
k... 4 x... 3 x6- 3 r6- 11 t 74
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