Skip to content
Solving Inequalities
Lesson 4
0% complete

Lesson 4: 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<c⇒x>c−baax+b<c\Rightarrow x>\frac{c-b}{a}

Worked example

−5x+4<34⇒x>−6-5x+4<34\Rightarrow x>-6

Checkpoint

Find the boundary for x+11<16\text{Find the boundary for }x+11<16

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.