Absolute Value Inequalities in Two Variables

An absolute value inequality in two variables is an inequality that contains an absolute value expression and shows the relationship between two variables. If the relationship is linear, then the inequality is similar to the equation of an absolute value function. Example [-0.8em] Equation: y = |8x-3|+2 Inequality: y ≤ |8x-3|+2 While the graph of an absolute value equation is a V-shaped graph, the graph of a two-variable absolute value inequality is a region. When graphing a two-variable absolute value inequality, its boundary line plays an important role.