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Grade 8 Math Lab: Functions & Proofs FREE

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Solving & Graphing Inequalities

50 min Grade 8 Math Lab: Functions & Proofs

Learning Objectives

  • Solve linear inequalities
  • Graph on number line
  • Write inequality from context

Key Concepts

Inequality

Comparison using <, >, ≤, ≥

Flip Rule

Reverse the sign when multiplying or dividing by a negative

Theory

**Solving inequalities** works like equations, with one key rule: - Multiply or divide by a **negative** → **flip** the inequality sign **Graphing on number line:** - Open circle ○ for < or > - Closed circle ● for ≤ or ≥ - Shade in the direction of solutions **Example:** -2x > 6 → x < -3 (flip!)

Examples

Solve: 3x - 4 ≤ 11

Solution: 3x ≤ 15 → x ≤ 5