Graph Inequalities Worksheet

Printable “Inequalities” Worksheets:
Write & Graph Inequalities

Solve 1-step inequalities (addition & subtraction)
Solve 1-step inequalities (multiplication & division)
Solve 1-step inequalities (all operations)

Free printable and online worksheets to help Grade 6 students learn how to write and graph inequalities on the number line given statements or word problems.

How to Write and Graph Inequalities?

Writing and graphing inequalities is an important part of algebra. Inequalities are mathematical expressions that show the relationship between two values where they are not necessarily equal.

Identify Inequality Symbols:
Less than: <
Greater than: >
Less than or equal to: ≤
Greater than or equal to: ≥

Translate Verbal Statements to Inequalities:
For example:
“More than” translates to >. “Less than” translates to <. “At most” translates to ≤ (including the equal value). “At least” translates to ≥ (including the equal value).

Forming Compound Inequalities:
“A number 𝑥 is between 1 and 4” translates to 1 < 𝑥 < 4.
“A number 𝑦 is at least 2 and at most 6” translates to 2 ≤ 𝑦 ≤ 6.

Graphing Inequalities on a Number Line:

1. Draw a Number Line:
   Start by drawing a horizontal line and marking key points (numbers) relevant to the inequality you need to graph.
2. Plot the Key Point:
   Use an open circle to indicate that the key point is not included in the solution (< or >).
   Use a closed circle to indicate that the key point is included in the solution (≤ or ≥).
3. Shade the Appropriate Region:
   Shade to the left of the key point for < or ≤. Shade to the right of the key point for greater than > or ≥

Have a look at this video if you need to review how to graph inequalities on the number line.

• Graphing Inequalities on Number Lines

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More Graph Inequalities Worksheets

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(Answers on the second page.)
Graph Inequalities Worksheet #1
Graph Inequalities Worksheet #2
Graph Inequalities Worksheet #3

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