Practice Graphing Inequalities in Math

Use these practice problems to test your method after reviewing the concept explanation and worked examples.

Quick Recap

The process of representing the solution set of an inequality on a coordinate plane by drawing the boundary line (solid for \leq/\geq, dashed for </>) and shading the half-plane that contains all points satisfying the inequality.

Use boundary lines and shading to show where conditions are true.

Example 1

easy
Graph x > 2 on a number line.

Example 2

medium
Graph the solution of y \leq 2x + 1 on the coordinate plane.

Example 3

easy
Graph x \leq -1 on a number line.

Example 4

medium
Is the point (1, 3) in the solution region of y < x + 4?