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Solve the inequality. Graph the solution set. A) (-2, 2)

Question : Solve the inequality. Graph the solution set. A) (-2, 2) : 2151774

MULTIPLE CHOICE. Choose the one alternative that best completes the statement or answers the question.

Solve the inequality. Graph the solution set.

1) |x| ≤ 2

A) (-2, 2)

B) (-∞, 2]

C) [-2, 2]

D) (-∞, -2]∪[2, ∞)

2) |x| < 2

A) [-2, 2]

B) (-2, 2)

C) (-∞, -2)∪(2, ∞)

D) (-∞, 2]

3) |x + 19| < 7

A) (-∞, -26)

B) (12, 26)

C) (-26, -12)

D) (-∞, -12)

4) |2k - 7| ≤ 8

A) [-(1/2), (15/2)]

B) (-(1/2), (15/2))

C) (-¥, -(1/2)]∪[(15/2), ¥)

D) (-¥, (15/2)]

5) |x| - 6 ≤ 1

A) (-∞, -5]

B) [-7, 7]

C) (-∞, -7]∪[7, ∞)

D) (-∞, 7]

6) |8k + 9| < -8

A) (-¥, -(17/8))∪(-(1/8), ¥)

B)

C) ((1/8), (17/8))

D) (-(17/8), -(1/8))

7) |x - 6| - 4 ≤ 4

A)

B) [-2, 14]

C) (-2, 14)

D) [-2, 4]

8) |8k - 6| + 1 < 10

A) (-¥, (15/8))

B) (-¥, -(3/8))∪((15/8), ¥)

C) (-¥, -(3/8))

D) (-(3/8), (15/8))

9) |x| < -4

A) (-∞, -4)∪(4, ∞)

B) (-∞, -4]

C)

D) (-4, 4)

10) |x + 6| ≤ 0

A) 6

B)

C) -6

D) (-∞, -6)

11) |(7y + 28)/4| < 7

A) (0, 8)

B) (-∞, -8)∪(0, ∞)

C) (-8, 8)

D) (-8, 0)

12) |x| ≥ 2

A) [-2, 2]

B) (-∞, -2]∪[2, ∞)

C) (-∞, -2)∪(2, ∞)

D) [2, ∞)

13) |x| > 3

A) (-∞, -3)∪(3, ∞)

B) [-3, 3]

C) (-3, 3)

D) [3, ∞)

14) |x - 15| > 9

A) (-24, -6)

B) (24, ∞)

C) (-∞, 6)∪(24, ∞)

D) (6, 24)

15) |5k - 5| ≥ 9

A) [(14/5), ¥)

B) (-(4/5), (14/5))

C) [-(4/5), (14/5)]

D) (-¥, -(4/5)]∪[(14/5), ¥)

16) |x| + 2 ≥ 5

A) [7, ∞)

B) [-3, 3]

C) (-∞, -3]∪[3, ∞)

D) [3, ∞)

17) |8k - 2| > -3

A) (-(1/8), (5/8))

B) ((5/8), ¥)

C) (-¥, -(1/8)∪((5/8), ¥)

D) (-∞, ∞)

18) |x + 5| - 9 ≥ -1

A) [-13, 3]

B) [3, ∞)

C) (-13, 3)

D) (-∞, -13]∪[3, ∞)

19) |3k + 2| + 2 > 8

A) (-¥, -(8/3))∪((4/3), ¥)

B) (-(8/3), (4/3))

C) ((4/3), ¥)

D) (-¥, -(8/3)]∪[(4/3) ¥)

20) |x| > -4

A) (-4, 4)

B) (-∞, ∞)

C) (-∞, -4)∪(4, ∞)

D) [-4, ∞)

21) |x - 3| ≥ 0

A) (-∞, ∞)

B) (-∞, 3)∪(3, ∞)

C) 3

D) (-∞, -3)∪(-3, ∞)

22) |(5y + 20)/4| > 5

A) (0, ∞)

B) (-8, 8)

C) (-∞, -8)∪(0, ∞)

D) (-8, 0)

23) |4x - 3| > 0

A) (-¥, (3/4))∪((3/4), ¥)

B) ((3/4), ¥)

C) (-(3/4), (3/4))

D) (-¥, -(3/4))∪((3/4), ¥)

Solve the absolute value equation.

24) |8x + 3| = 2

A)

B) – (1/8), - (5/8)

C) – (1/3), - (5/3)

D) (1/8), (5/8)

25) |6x + 7| + 3 = 8

A) – (1/3), - 2

B) (1/3), 2

C)

D) – (2/7), - (12/7)

26) |2x - 3| = -5

A) 1, - 4

B) (2/3), - (8/3)

C)

D) - 1, 4

27) |(3x + 3)/5| = 4

A)

B) (17/3), - (23/3)

C) – (17/3)

D) (23/3)

Write the inequality.

28) Write an absolute value inequality representing all numbers x whose distance from 0 is less than 8 units.

A) |x| ≤ 7

B) |x| ≤ 8

C) |x| > 8

D) |x| < 8

29) Write an absolute value inequality representing all numbers x whose distance from 0 is greater than 4 units.

A) |x| ≥ 5

B) |x| > 4

C) |x| < 4

D) |x| ≥ 4

30) Write -11 ≤ x ≤ 11 as an inequality containing absolute value.

A) |x| ≥ 11

B) |x| ≤ 10

C) |x| ≤ 11

D) |x| ≥ 10

31) Write x > 3 or x < -3 as an inequality containing absolute value.

A) |x| ≥ 4

B) |x| > 4

C) |x| > 3

D) |x| < 3

Solution
5 (1 Ratings )

Solved
Algebra 2 Months Ago 22 Views
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