Absolute value of a function or number is that number of units of distance from the zero mark when drawn on a number line. It could either be left to the zero or right to the zero. The symbol used to denote absolute value is bars around the number or variable. Such that, $|x|$ is read as absolute value of $x$. It is $x$ units away from zero on either side on the number line. Inequality means lack of equality. It could either be less than or more than or not equal to. The symbols used to denote inequality are $<,\ >$ or $\neq$. So, combining the terms ‘absolute value’ and ‘inequality’ we can say that absolute value inequality is a type of inequality that possesses absolute value.