Solve absolute value inequality. |x+3|\geq 4

Cheexorgeny

Cheexorgeny

Answered question

2021-12-13

Solve absolute value inequality.
|x+3|4

Answer & Explanation

Jim Hunt

Jim Hunt

Beginner2021-12-14Added 45 answers

Step 1
Given: |x+3|4
we know that solution of given inequality (|x+a|b) is given by
x+ab or x+ab
Step 2
similarly,
solution of given inequality will be
(x+34)(x+34)
(x43)(x43)
(x7)(x1)
so, solution of given inequality will be
x(,7],[1,).
hence, solution of given inequality is x7 or x1.

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