How to Graph Single–Variable Inequalities? (+FREE Worksheet!)
You need to use a number line to graph single-variable inequalities. Learn how to graph an inequality with one variable.
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Related Topics
- How to Solve One-Step Equations
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- How to Solve Multi-Step Inequalities
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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.
For education statistics and research National Center for Education Statistics.
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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.
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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
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. \(\color{blue}{ -1.5 > x }\)
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