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These grade 7 graph inequalities on a number line worksheets are made for Grade 7 learners, with four difficulty levels so you can match the practice to the child.

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Grade 7 Graph inequalities on a number line Worksheets

Grade 7 practice: State the circle type and shading direction for a one-variable inequality. Choose a level below to generate a fresh set of questions.

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Understanding graph inequalities on a number line

Graphing inequalities on a number line shows all the values that satisfy a one-variable inequality. Students decide two things: whether the boundary point gets an open circle (for < or >) or a closed circle (for ≤ or ≥), and which direction to shade. This visual turns an inequality into the full set of solutions at a glance.

For x > 3, draw an open circle at 3 and shade to the right, because 3 itself is not included and larger values are. For x ≤ −1, draw a closed circle at −1 and shade to the left. A common mistake is filling the circle for a strict inequality or shading the wrong way. Tip: a line under the symbol (≤, ≥) means a closed circle; shade toward the numbers that make the statement true by testing one value on each side.

Sample graph inequalities on a number line questions

These examples come from the Easy setting. Generate a worksheet for a complete page with space for working.

To graph x ≤ 1 on a number line, state the circle type and the shading direction.
To graph x > 5 on a number line, state the circle type and the shading direction.
To graph x > -3 on a number line, state the circle type and the shading direction.
To graph x ≥ -1 on a number line, state the circle type and the shading direction.

Check the sample answers

closed circle, shade left
open circle, shade right
open circle, shade right
closed circle, shade right

Practice focus

State the circle type and shading direction for a one-variable inequality. Show your working so each step is clear.

Grade 7 Graph inequalities on a number line Worksheets

Understanding graph inequalities on a number line

Sample graph inequalities on a number line questions

Practice focus

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