# absolute value equations and inequalities math homework help

Which of the equations below has no solution?

a. |x – 8| – 6 = -4

b. |-x + 3| – 1 = 0

c. -2|x – 4| = -6

d. |2x + 1| + 8 = 3

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Solve the equation.

|3x – 4| = 5

a. {-⅓, 3}

b. {⅓, 3}

c. {3}

d. {3, -3}

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Solve the equation. a. {8}

b. {4, 8}

c. {1, 2}

d. {2}

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Solve the equation.

|9y + 1| = |6y + 4|

a. {1, -1/3}

b. {1, -5/3}

c. {1}

d. {1, 1/5}

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Solve the equation.

|8 – y| = |y + 2|

a. {3}

b. {3, 5}

c. {-3, 3}

d. {3, -10}

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Which number line shows all solutions to the inequality below?

|n| ≥ 4 ==============================

Solve the inequality.

|5x + 2| < 8

a. (-2, 6/5)

b. (-∞, -2)

c. (-∞, 6/5)

d. (-∞, -2) U (6/5, ∞)

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Solve the inequality.

|10 + 3x| – 2 > -1

a. (-∞, ∞)

b. {Ø}

c. (-∞, -11/3) U (-3, ∞)

d. (-11/3, -3)

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Solve the inequality.

|4 + 9x| ≥ -6

a. (-∞, ∞)

b. {Ø}

c. [-10/9, 2/9]

d. (-∞, -10/9] U [2/9, ∞)

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Solve the inequality.

|5x + 3| < -6

a. (-∞, ∞)

b. {Ø}

c. (-9/5, 3/5)

d. (-∞, -9/5) U (3/5, ∞)  