ALG-12 · Algebra

One-variable and compound inequalities

Linear inequalities · Stage 2

01 · Key idea

Reverse the inequality when dividing by a negative number.

Useful ruleReverse sign when multiplying by a negative

Build on: ALG-01

02 · Worked example

Solve −2x + 4 > 10.

This teaching example is original and is not an official SAT question.

Reasoning

Subtract 4: −2x > 6. Divide by −2 and reverse > to <.

Answer

x < −3

03 · Next step

Practice questions remain in English, as on the SAT.

ALG-12 · One-variable and compound inequalities