3-3 Solving Inequalities Using Multiplication or Division How do you handle negative numbers in inequalities when multiplying or dividing? Multiplying or dividing both sides of an inequality by a negative number affects the inequality symbol. It changes the meaning of the inequality. You need to reverse the inequality symbol to make the inequality true.

3-3 Solving Inequalities Using Multiplication or Division What is the Multiplication Property of Inequality? Let a, b, and c be real numbers with c > 0 If a > b, then ac > bc If a < b, then ac < bc Let a, b, and c be real numbers with c < 0 If a > b, then ac < bc If a < b, then ac > bc This property is also true for  and ≤.

3-3 Solving Inequalities Using Multiplication or Division What is the Division Property of Inequality? Let a, b, and c be real numbers with c > 0 If a > b, then a  c > b  c If a < b, then a  c < b  c Let a, b, and c be real numbers with c < 0 If a > b, then a  c < b  c If a < b, then a  c > b  c This property is also true for  and ≤.