### Graphing One-Variable Inequalities Worksheets

An inequality is a mathematical statement expressing that the quantities on both sides of the statement are not equal. Algebraically, these are those statements involving the symbols; <, >, $$\geq$$ or $$\leq$$. A single-variable inequality can be written in any of the following forms: $$x < C$$, $$x > C$$, $$x \leq C$$ or $$x \geq C$$, where $$C$$ is any real numbers.

Solving linear inequality is similar to solving linear equations. To solve a single-variable inequality means to find all the numbers that would satisfy it. Unlike linear equations, linear inequalities have infinitely many solutions. So the graph of its solution set is a set all points, which is a subset of a line.

Before graphing linear inequalities, we summarized below the different forms of inequalities, with its corresponding interval form and graph:

EXAMPLES

Based on the table above, sketch the graph of the following inequalities: