6th grade inequalities on a number line worksheets
Inequalities on a number line connect a graph to a statement like x > 3. Sixth graders read a graphed ray (open circle, arrow left or right) and write the inequality it shows, then test which values make an inequality true.
Free printable PDF worksheet, aligned to Common Core 6.EE.B.5, 6.EE.B.8.
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Need one more? These are the skills next door at this grade.
The kind of problems you'll get
Write each inequality using x. Then select all values that make each inequality true.
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x > -2
Answer: (-1, 0)
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x < 0
Answer: (-2, -1/2)
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x > -3
Answer: (-2, -1)
Every print pulls a fresh set of problems at this level, so a make-up test or a second sibling never gets the same sheet.
What's on a 6th grade sheet
- Inequalities on a number line. Write each inequality using x. Then select all values that make each inequality true. 8 problems per page.
- Interpreting inequalities. Complete each problem. Show your reasoning where asked. 4 problems per page.
- Writing inequalities. Write one inequality that models each condition. 5 problems per page.
Every version prints on US Letter or A4, with its answer key after the problems.
How to teach this
Start every graph with two questions: where is the circle, and which way does the arrow point? The circle gives the boundary number, the arrow gives the symbol. Then have your child name two numbers that fit the graph and one that doesn't. Naming solutions makes the symbol mean something.
Watch for: Kids read the circled number as the answer. The graph shows a whole set of numbers, so the answer is an inequality like x > 3, not a single value. An open circle looks like it includes the number. Open means the boundary itself is not a solution.
Common questions about 6th grade inequalities on a number line
- What does the open circle mean?
- The boundary number itself is not a solution. An open circle at 3 with the arrow pointing right means every number greater than 3 works, but 3 does not.
- Do these worksheets use ≤ and ≥?
- No, this sheet stays with strict inequalities: open circles and the symbols > and <. That matches how 6th grade introduces graphing solution sets.
Related worksheets
- 6th grade absolute value Same grade, nearby skill
- 6th grade combining like terms Same grade, nearby skill
- 6th grade comparing & ordering integers Same grade, nearby skill
- 6th grade evaluating expressions Same grade, nearby skill
- 6th grade writing inequalities A version of this sheet, on its own page
- Inequalities on a number line, all grades The full progression
- All 6th grade math worksheets Every skill at this level
- All 6th grade worksheets Everything at this level
- Negative number line Reference chart · 5th grade to 6th grade
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Aligned to Common Core 6.EE.B.5, 6.EE.B.8. Reviewed by the One more sheet team. Content version 240, updated September 2026.
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