Mathematics

Absolute value inequalities can feel tricky, but the key insight is that squaring both sides eliminates the absolute values while preserving the inequality direction (since both sides are non-negative). This transforms the problem into a standard polynomial inequality. Once you expand and simplify, you'll get a quadratic that you can factor or analyze to find the solution intervals.

Absolute value inequalities can feel tricky, but the key insight is that squaring both sides eliminates the absolute values while preserving the inequality direction (since both sides are non-negative). This transforms the problem into a standard polynomial inequality. Once you expand and simplify, you'll get a quadratic that you can factor or analyze to find the solution intervals.