Question

What is the solution to the inequality below. x(absolute value) <5

Answer 1

-5 < x < 5

Explanation:

|x| < 5

This can be split into two cases: x < 5 and -x < 5 because |x| could be either x or -x depending on whether x is positive, negative, or 0. Solving the second one we get x > -5 so the answer is -5 < x < 5.