# 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

Only authorized users can leave an answer!

If you are not satisfied with the answer or you can’t find one, then try to use the search above or find similar answers below.

Find similar answersMathematics, added 2021-04-18 05:43:12

Mathematics, added 2021-04-18 03:52:35

Mathematics, added 2021-04-16 04:45:24

Mathematics, added 2021-04-16 03:14:30

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