An absolute value inequality is defined as an inequality that has modulus sign of absolute value containing a variable inside the bars. We need to consider two cases while solving absolute value inequalities. The cases are as follows:

**• Case 1 -** The equation written inside the modulus symbol of the absolute value is positive

**• Case 2 -** The equation written inside the modulus symbol of the absolute value is negative

The solution to absolute value problem would be the intersection of solution when each of the case is solved, such that if $|a| < b$, then $a < b$ AND $a > -b$

Absolute value inequality is the measure of the distance of any quantity from the origin $0$, such that $|x|$ measures the distance of $x$ from $0$. The fields in which absolute value inequality finds its application are symmetric, symmetric limits or boundary conditions.