Income Inequality: Chapter Review Paper
Chapter Review
13–61 (Odds Only) on pp. 223–226
Solve each inequality. Graph your solutions.
13. w + 3 > 9
W + 3 – 3 > 9 – 3
W > 6
15. -4 < t + 8
-4 – 8 < t + 8 – 8 t > -12
17. 22.3 ≤ 13.7 + h
22.3 – 13.7 ≤ 13.7 – 13.7 + h h ≥ 8.6
19. You have at most $15.00 to spend. You want to buy a used CD that costs $4.25. Write and solve an inequality to find the possible additional amounts you can spend. a = Additional funds you can spend. a ≤ 15 – 4.25
21. -6t > 18
-6t-6 > 18-6 t < -3
23. - h4 < 6
- h4 × -4 < 6 × -4 h > -24
25. - 35n ≥ - 9
- 35n ÷ - 35 ≥ - 9 ÷ - 35 n ≤ 15
27. -17.1m < 23.8
-17.1m ÷ -17.1 < 23.8 ÷ -17.1 m > 1.392
Solve each inequality.
29. 4k – 1 ≥ -3
4k – 1 + 1≥ -3 + 1 4k4 ≥ -24 k ≥ -0.5 31. 3t
> 5t + 12 3t – 5t > 5t – 5t + 12 -2t-2 > 12-2 t < -6
33. 4 + x2 > 2x
4 + x2 × 2 > 2x × 2
4 + x - x > 4x – x
43 > 3x3
1.33 > x
35. 13.5a + 7.4 ≤ 85.7 13.5a + 7.4 – 7.4 ≤ 85.7 – 7.4 13.5a13.5 ≤ 78.313.5 a ≤ 5.8
37. A salesperson earns $200 per week plus a commission equal to 4% of her sales. This week her goal is to earn no less than $450. Write and solve an inequality to find the amount of sales she must have to reach her goal. 200 + .04s ≥ 450 200 – 200 + .04s ≥ 450 -200 .04s.04 ≥ 250.04 s ≥ $6,250
41. Suppose U = {1, 2, 3, 4, 5, 6, 7, 8} and B = {2, 4, 6, 8}. What is B’?
B’ = {1, 3, 5, 7}
Solve each compound inequality.
43. 0 < -8b ≥ -6.3 0-8 < -8b-8 ≥ -6.3-8 0 > b ≤ .7875
45. 5m < -10 or 3m > 9 5m5 < -105 or 3m3 > 93 m < 2 or m > 9
47. 9.1 > 1.4p ≥ -6.3 9.11.4 > 1.4p1.4 ≥ -6.31.4 6.5 > p ≥ -4.5
Solve each equation or inequality. If there is no solution, write no solution.
49. |y| = 3 y = 3, -3
51. 4 + |r + 2| = 7 r = 1, -5
53. |5x| ≤ 15 No solution.
55. |2x – 7| - 1 > 0 No solution. 57. The ideal length of a certain nail is 20mm. The actual length can vary from the ideal by at most 0.4mm. Find the range of acceptable lengths of the nail. a = Acceptable lengths
19.6mm < a < 20.4mm
Exercises
59. Let P = {1, 5, 7, 9, 13}, R = {1, 2, 3, 4, 5, 6, 7, 8}, and Q = {1, 3, 5}. Draw a Venn diagram that represents the intersection and union of the sets. P 9, 13 Q 1, 5 7 3
2, 4, 6, 8 R
61. There are 15 cats. Ten are striped and have green eyes. The rest of the cats have green eyes but are not striped. How many cats have green eyes but are not striped?
15 Total -10 Striped cats 5 With green eyes and no stripes
13–61 (Odds Only) on pp. 223–226
Solve each inequality. Graph your solutions.
13. w + 3 > 9
W + 3 – 3 > 9 – 3
W > 6
15. -4 < t + 8
-4 – 8 < t + 8 – 8 t > -12
17. 22.3 ≤ 13.7 + h
22.3 – 13.7 ≤ 13.7 – 13.7 + h h ≥ 8.6
19. You have at most $15.00 to spend. You want to buy a used CD that costs $4.25. Write and solve an inequality to find the possible additional amounts you can spend. a = Additional funds you can spend. a ≤ 15 – 4.25
21. -6t > 18
-6t-6 > 18-6 t < -3
23. - h4 < 6
- h4 × -4 < 6 × -4 h > -24
25. - 35n ≥ - 9
- 35n ÷ - 35 ≥ - 9 ÷ - 35 n ≤ 15
27. -17.1m < 23.8
-17.1m ÷ -17.1 < 23.8 ÷ -17.1 m > 1.392
Solve each inequality.
29. 4k – 1 ≥ -3
4k – 1 + 1≥ -3 + 1 4k4 ≥ -24 k ≥ -0.5 31. 3t
> 5t + 12 3t – 5t > 5t – 5t + 12 -2t-2 > 12-2 t < -6
33. 4 + x2 > 2x
4 + x2 × 2 > 2x × 2
4 + x - x > 4x – x
43 > 3x3
1.33 > x
35. 13.5a + 7.4 ≤ 85.7 13.5a + 7.4 – 7.4 ≤ 85.7 – 7.4 13.5a13.5 ≤ 78.313.5 a ≤ 5.8
37. A salesperson earns $200 per week plus a commission equal to 4% of her sales. This week her goal is to earn no less than $450. Write and solve an inequality to find the amount of sales she must have to reach her goal. 200 + .04s ≥ 450 200 – 200 + .04s ≥ 450 -200 .04s.04 ≥ 250.04 s ≥ $6,250
41. Suppose U = {1, 2, 3, 4, 5, 6, 7, 8} and B = {2, 4, 6, 8}. What is B’?
B’ = {1, 3, 5, 7}
Solve each compound inequality.
43. 0 < -8b ≥ -6.3 0-8 < -8b-8 ≥ -6.3-8 0 > b ≤ .7875
45. 5m < -10 or 3m > 9 5m5 < -105 or 3m3 > 93 m < 2 or m > 9
47. 9.1 > 1.4p ≥ -6.3 9.11.4 > 1.4p1.4 ≥ -6.31.4 6.5 > p ≥ -4.5
Solve each equation or inequality. If there is no solution, write no solution.
49. |y| = 3 y = 3, -3
51. 4 + |r + 2| = 7 r = 1, -5
53. |5x| ≤ 15 No solution.
55. |2x – 7| - 1 > 0 No solution. 57. The ideal length of a certain nail is 20mm. The actual length can vary from the ideal by at most 0.4mm. Find the range of acceptable lengths of the nail. a = Acceptable lengths
19.6mm < a < 20.4mm
Exercises
59. Let P = {1, 5, 7, 9, 13}, R = {1, 2, 3, 4, 5, 6, 7, 8}, and Q = {1, 3, 5}. Draw a Venn diagram that represents the intersection and union of the sets. P 9, 13 Q 1, 5 7 3
2, 4, 6, 8 R
61. There are 15 cats. Ten are striped and have green eyes. The rest of the cats have green eyes but are not striped. How many cats have green eyes but are not striped?
15 Total -10 Striped cats 5 With green eyes and no stripes