Skip to content
Solving Inequalities
Lesson 5
0% complete

Lesson 5: Solving Linear Inequalities

Find boundary values and preserve inequality truth.

Inequalities solve like equations with one critical rule: when multiplying or dividing by a negative number, flip the inequality sign.

Key formula

ax+b\gec⇒x≥c−baax+b\gec\Rightarrow x\ge\frac{c-b}{a}

Worked example

7x+16≥58⇒x≥67x+16\ge58\Rightarrow x\ge6

Checkpoint

Find the boundary for 5x−5>−25\text{Find the boundary for }5x-5>-25

Recap

  • - Solve the boundary by replacing inequality with equals.
  • - Flip direction only when dividing/multiplying by negatives.
  • - Express answer with correct boundary relation.
Previous lessonNext lessonExamplesPracticeTry in calculator

Track progress: 0/8 completed.