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Solve the following absolute value equation:

Question : Solve the following absolute value equation: : 2151617

SHORT ANSWER. Write the word or phrase that best completes each statement or answers the question.

27) Solve the following absolute value equation: |x - 2| + 4 = 6

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

28) Solve the equation containing an absolute value: |3x + 1| = 10

A) x = ±3

B) x = -3, x = 3(2/3)

C) x = +3, x = -3(2/3)

D) no solution

29) Solve the absolute value equation: |x - 2| = 0

A) x = -2

B) x = ±2

C) x= 2

D) no solution

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

Find the solution set for each inequality. Graph the solution set on a number line and write it in interval notation.

31) |x| ≥ 4

A) (-∞, -4] [4, ∞)

B) [-4, 4]

C) [4, ∞)

D) (-∞, -4) (4, ∞)

32) |x| > 3

A) [-3, 3]

B) (-3, 3)

C) [3, ∞)

D) (-∞, -3) (3, ∞)

33) |x + 16| > 9

A) (-∞, -25) (-7, ∞)

B) (7, 25)

C) (-7, ∞)

D) (-25, -7)

34) |4k - 6| ≥ 7

A) [- (1/4), (13/4)]

B) [(13/4), ∞)

C) (-∞, - (1/4)] [(13/4), ∞)

D) (- (1/4), (13/4))

35) |x| + 4 ≥ 14

A) (-∞, -10] [10, ∞)

B) [18, ∞)

C) [-10, 10]

D) [10, ∞)

36) |8k + 1| > -8

A) (-∞, - (9/8)) ((7/8), ∞)

B) ((7/8), ∞)

 

C) (-∞, ∞)

D) (- (9/8), (7/8))

37) |x - 2| + 4 ≥ 11

A) (-5, 9)

B) [9, ∞)

C) [-5, 9]

D) (-∞, -5] [9, ∞)

38) |4k - 8| - 9 > -6

A) (-∞, (5/4)) ((11/4), ∞)

B) (-∞, (5/4)] [(11/4), ∞)

C) ((11/4), ∞)

D) ((5/4), (11/4))

39) |x| > -2

A) (-∞, -2) (2, ∞)

B) [-2, ∞)

C) (-2, 2)

D) (-∞, ∞)

40) |x + 7| ≥ 0

A) (-∞, ∞)

B) {-7}

C) (-∞, -7) (-7, ∞)

D) (-∞, 7) (7, ∞)

SHORT ANSWER. Write the word or phrase that best completes each statement or answers the question.

Provide an appropriate response.

41) Solve the following absolute value inequality: |x| > 5

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

42) Find the solution set for |x| ≥ 2.

A) -2 ≤ x ≤ 2

B) x ≤ -2 or x ≥ 2

C) x < -2 or x > 2

D) -2 < x < 2

43) Solve the inequality: |x + 3| ≥ -5

A) -8 ≤ x ≤ 2

B) -8 ≤ x or x ≥ 2

C) all real numbers

D) no solution

44) Solve: |x - 3| ≥ 2

A) x ≤ -5 or x ≥ -1

B) x ≤ 1 or x ≥ 5

C) 1 ≤ x ≤ 5

D) -1 ≤ x ≤ -5

45) Solve: |2x - 3| > 7

A) -5 < x < 2

B) -2 < x < 5

C) x < -2 or x > 5

D) x < -5 or x > 5

46) Find the solution set for |x - 3| > 5.

A) x ≤ -2 or x ≥ 8

B) x < -2 or x > 8

C) -2 < x < 8

D) no solution

Solution
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