Two-step inequalities graphed on a number line worksheets

What is on this worksheet

Solve two-step inequalities such as 3x − 2 ≤ 10 and graph each solution on a number line, using only positive numbers.

• Inequalities: Two-step (3x − 2 ≤ 10)
• Include negative numbers (and flipping the sign): Off

You can change any of these settings above. Press "New problems" for a fresh set with the same settings, or pick Version A to Z to print different sheets for neighboring desks. The answer key always matches.

About solving and graphing inequalities

Each inequality is solved for x, and the solution is graphed on a number line with an open or closed circle and an arrow. With negative numbers switched on, some problems need the sign flipped when multiplying or dividing by a negative number. Turn off the graph to get twelve or more problems on a page.

The answer key draws the circle and the arrow in blue on every number line. The solved example works through the steps, writes the solution, and graphs it, explaining why the circle is open or closed.

Printing

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