# Which of the following is the solution to 4 | x + 3 | ≥ 8?

A. x ≤ -5 and x ≥ -1

B. x ≥ -1

C. x ≤ -5 or x ≥ -1

D. x ≥ -5 or x ≥ -1

## Answers

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Answered by

jimmyrepinEither 4(x + 3) >= 8 or 4(x + 3) <= -8 4x + 12 >=8 4x >= =4 x >= -1 or 4x + 12 <= -8 4x <= -20 x <= -5 Answer is C

Answered by

tonbFirst we get rid of the 4 by dividing by it: 4 | x + 3 | ≥ 8 => | x + 3 | ≥ 2 Then eliminate the absolute operator like this: | x + 3 | ≥ 2 => -x-3 ≥ 2 or x+3 ≥ 2 Simplify: -x ≥ 5 or x ≥ -1=> x ≤ -5 or x ≥ -1 That's answer C