7th Grade · Expressions & Equations
Two-Step Inequality
7.EE.B.4b
Definition
An inequality solved using two inverse operations. When multiplying or dividing both sides by a negative number, reverse the inequality sign.
Examples
- 2x + 1 > 7 → subtract 1 → 2x > 6 → divide by 2 → x > 3.
- -2x < 6 → divide by -2 → x > -3 (sign flips from < to >).
Key rule
Flip the sign when multiplying or dividing by a negative number.
Memory hook
Solve like an equation, but flip for negatives.