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Added 2019-04-26 07:33:15 subject Mathematics (School) by katmalfoy14

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

Answered by jimmyrepin

Either  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


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Answered by tonb

First 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


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