3.2 Solving Inequalities

Notes

Solve inequalities like equations, with one big rule:

• When you multiply or divide both sides by a negative number, flip the inequality sign.
• $-3x < 12 \Rightarrow x > -4$.
• Adding, subtracting, or multiplying and dividing by a positive number does not flip the sign.
• Multi-step: $5 - 2x \ge 11 \Rightarrow -2x \ge 6 \Rightarrow x \le -3$.