Solving Multi-Step Inequalities

Overview

Goal. Solve multi-step inequalities by simplifying each side, collecting the variable, and undoing in reverse order — flipping the symbol only when multiplying or dividing by a negative — and verify with a test value.

Test value (definition). A number substituted into an inequality to check whether it is a solution.

Multi-step inequalities: simplify, collect, undo — flip only for negative multiplication or division.

Lesson Notes

Flip through the notes one page at a time using the buttons below.

Notes page

Lesson Video

Watch the lesson video.

Interactive Activity

Goal. Solve multi-step inequalities step by step and on your own, including the flip rule inside longer problems.

Flip rule reminder. Flip the symbol only when you multiply or divide both sides by a negative number — never for addition or subtraction.

Solving Multi-Step Inequalities — Interactive ActivityOpen ›