How to Graph Single–Variable Inequalities? (+FREE Worksheet!)

Watch this practice video for additional examples and reinforcement:

Related Topics

• How to Solve One-Step Equations
• How to Solve Multi-Step Equations
• How to Solve One-Step Inequalities
• How to Solve Multi-Step Inequalities
• How to Solve Systems of Equations

Step by step guide to graphing single–variable inequalities

• Inequality is similar to equations and uses symbols for “less than” (\(<\)) and “greater than” (\(>\)).
• To solve inequalities, we need to isolate the variable. (like in equations)
• To graph an inequality, find the value of the inequality on the number line.
• For less than or greater than draw an open circle on the value of the variable.
• If there is an equal sign too, then use a filled circle.
• Draw a line to the right or the left for greater or less than.

Graphing Single–Variable Inequalities For education statistics and research National Center for Education Statistics.

The Absolute Best Books to Ace Pre-Algebra to Algebra II

Graphing Single–Variable Inequalities – Example 1:

Draw a graph for \(x \ > \ 4 \).

Solution:

Since the variable is greater than \(4\), then we need to find \(4\) and draw an open circle above it. Then, draw a line to the right.

Graphing Single–Variable Inequalities – Example 2:

Draw a graph for \(x>2\).

Solution:

Since the variable is greater than \(2\), then we need to find \(2\) and draw an open circle above it. Then, draw a line to the right.

The Best Book to Help You Ace Pre-Algebra

Graphing Single–Variable Inequalities – Example 3:

Graph this inequality \(x<5\).

Solution:

Since the variable is less than \(5\), then we need to find \(5\) and draw an open circle above it. Then, draw a line to the left.

Exercises for Graphing Single–Variable Inequalities

Graphing Single–Variable Inequalities

Draw a graph for each inequality.

1. \(\color{blue}{– 2 > x}\)

2. \( \color{blue}{x ≤ – 5}\)

3. \( \color{blue}{x > 7}\)

4. \(\\ \color{blue}{-1.5 > x}\)

Download Graphing Single–Variable Inequalities Worksheet

Answers

1. \(\color{blue}{ – 2 > x }\)

2. \(\color{blue}{ x ≤ -5 }\)

3. \(\color{blue}{ x > 7 }\)

4. \(\color{blue}{ -1.5 > x }\)

The Greatest Books for Students to Ace the Algebra