 # Solving Inequalities by Multiplication and Division

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Solving Inequalities by Multiplication and Division
Lesson 6-2 Solving Inequalities by Multiplication and Division

Definition Multiplication Property of Inequalities- If each side of a true inequality is multiplied by the same positive number, the resulting inequality is true. If each side of a true inequality is multiplied by the same negative number, the direction of the inequality symbol must be reversed so that the resulting inequality is also true.

Solve . Then check your solution.
Multiply by a positive number Ex 1 Solve Then check your solution.

Solve . Then check your solution.
Multiply by a positive number Solve Then check your solution.

Solve . Then check your solution.
Ex 2 Multiply by a negative number Solve Then check your solution.

Solve . Then check your solution.
Multiply by a negative number Solve Then check your solution.

Write and solve an inequality
Write an inequality for the sentence below. Then solve the inequality. One fourth of a number is less than -7. One fourth of a number is less than -7. -7 n

Write and solve an inequality
Write an inequality for the sentence below. Then solve the inequality. Four-fifths of a number is at most twenty.

Definition Division Property of Inequalities- If each side of a true inequality is divided by the same positive number, the resulting inequality is true. If each side of a true inequality is divided by the same negative number, the direction of the inequality symbol must be reversed so that the resulting inequality is also true.

Solve 14h > 91. Then check your solution.
Divide by a positive number Ex 4 Solve 14h > 91. Then check your solution.

Solve 12s  60. Then check your solution.
Divide by a positive number Solve 12s  60. Then check your solution.

Solve -5t  275. Then check your solution.
Ex 5 Divide by a negative number Solve -5t  275. Then check your solution.

Solve -8q < 138. Then check your solution.
Divide by a negative number Solve -8q < 138. Then check your solution.