You need to use a number line to graph single-variable inequalities. Learn how to graph an inequality with one variable.
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 open circle on the value of the variable.
- If there is an equal sign too, then use filled circle.
- Draw a line to the right or to the left for greater or less than.
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.
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.
Example 3:
Graph this inequality. \(x<5\)
Solution:
Exercises
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. \(\color{blue}{ -1.5 > x }\)
