 # 6.2 Solving Inequalities Using Multiplication or Division Goal Solve and graph one-step inequalities in one variable using multiplication or division Key.

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6.2 Solving Inequalities Using Multiplication or Division Goal Solve and graph one-step inequalities in one variable using multiplication or division Key Words multiplication property of inequality division property of inequality

PROPERTIES OF INEQUALITY Multiplication Property of Inequality (c > 0) For all real numbers a, b, and for c > 0: If a > b, then ac > bc If a < b, then ac < bc Division Property of Inequality (c > 0) For all real numbers a, b, and c > 0: If a > b, then a ÷ c > b ÷ c If a < b, then a ÷ c < b ÷ c

EXAMPLE 1 Multiply by a Positive Number Solve. Then graph the solution.

EXAMPLE 2 Divide by a Positive Number Solve: 4x > 20 Then graph the solution.

Solve the inequality. Then graph the solution Checkpoint Multiply or Divide by a Positive Number. 1. 2. 18  2k 4. -21  3y 3. 6 <

PROPERTIES OF INEQUALITY Multiplication Property of Inequality (c < 0) For all real numbers a, b, and for c < 0: If a > b, then ac < bc If a bc Division Property of Inequality (c < 0) For all real numbers a, b, and c < 0: If a > b, then a ÷ c < b ÷ c If a b ÷ c

EXAMPLE 3 Multiply by a Negative Number Solve. Then graph the solution.

EXAMPLE 4 Divide by a Negative Number Solve. Then graph the solution.

EXAMPLE 4 Divide by a Negative Number Solve. Then graph the solution.

Solve the inequality. Then graph the solution Checkpoint Multiply or Divide by a Negative Number. 5. 6.

Solve the inequality. Then graph the solution Checkpoint Multiply or Divide by a Negative Number. 8. -14z  -70 7.

Homework p. 333 # 16-26e, 36-46e, 59-61 (15 problems)

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