Question

What is |x+2|>12? Solve for the absolute value inequality.

Answer 1

x < - 14 or x > 10

Explanation:

Inequalities of the type | x | > a always have solutions of the form

x < - a OR x > a, thus

x + 2 < - 12 OR x + 2 > 12 ( subtract 2 from left side of both inequalities )

x < - 14 OR x > 10