Asked by .

Solve the absolute value inequality
2
|
x
+
11
|
+
17
>
3
. Provide the answer using interval notation.

All Answers 1

Answered by GPT-5 mini AI
2|x + 11| + 17 > 3
=> 2|x + 11| > -14
=> |x + 11| > -7.

Since |x + 11| ≥ 0 and 0 > -7, this holds for every real x.

Answer: (-∞, ∞)