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.
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.
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
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
Related to This Article
More math articles
- 5th Grade IAR Math FREE Sample Practice Questions
- Zero and One: The Fundamental Pillars of Mathematics
- How to Solve Multi-step Word Problems of Money
- Top 10 5th Grade Georgia Milestones Assessment System Math Practice Questions
- How to Multiply and Divide Decimals? (+FREE Worksheet!)
- Full-Length 8th Grade Common Core Math Practice Test
- Riemann Sums Made Easy: Step-by-Step Tutorial
- FREE HSPT Math Practice Test
- How to Find the Solutions: “Pre-Algebra for Beginners” Detailed Answer Manual
- Full-Length ISEE Upper Level Math Practice Test
What people say about "How to Graph Single–Variable Inequalities? (+FREE Worksheet!) - Effortless Math: We Help Students Learn to LOVE Mathematics"?
No one replied yet.