Solving Inequalities Using Multiplication or Division Honors Math – Grade 8.

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Solving Inequalities Using Multiplication or Division Honors Math – Grade 8

Transcript of Solving Inequalities Using Multiplication or Division Honors Math – Grade 8.

Page 1: Solving Inequalities Using Multiplication or Division Honors Math – Grade 8.

Solving Inequalities Using Multiplication or DivisionHonors Math – Grade 8

Page 2: Solving Inequalities Using Multiplication or Division Honors Math – Grade 8.

Solve each inequality. Then graph the solution.

52𝑏≥235To solve a multiplication inequality, use the Division Property of Inequality.

KEY CONCEPT Division Property of Inequality

1. If a, b, and c are real numbers, c is positive, and a > b, then .2. If a, b, and c are real numbers, c is negative, and a > b, then .

Similar statements can be written form a < b, a < b and a > b.

Page 3: Solving Inequalities Using Multiplication or Division Honors Math – Grade 8.

Solve each inequality. Then graph the solution.

4h<24To solve a multiplication inequality, use the Division Property of Inequality.

Page 4: Solving Inequalities Using Multiplication or Division Honors Math – Grade 8.

Solve each inequality. Then graph the solution.

−7.30𝑛>365To solve a multiplication inequality, use the Division Property of Inequality.

When dividing both sides of an inequality by a the negative number, you MUST reverse the inequality symbol to get a true statement.

Page 5: Solving Inequalities Using Multiplication or Division Honors Math – Grade 8.

Solve each inequality. Then graph the solution.

𝑥12

>15To solve a addition inequality, use the Multiplication Property of Inequality.

KEY CONCEPT Multiplication Property of Inequality

1. If a, b, and c are real numbers, c is positive, and a > b, then .2. If a, b, and c are real numbers, c is negative, and a > b, then .

Similar statements can be written form a < b, a < b and a > b.

Page 6: Solving Inequalities Using Multiplication or Division Honors Math – Grade 8.

Solve each inequality. Then graph the solution.

𝑟−11

≤−1To solve a addition inequality, use the Multiplication Property of Inequality.

When multiplying both sides of an inequality by a the negative number, you MUST reverse the inequality symbol to get a true statement.

Page 7: Solving Inequalities Using Multiplication or Division Honors Math – Grade 8.

Solve each inequality. Then graph the solution.

35<𝑟−5

To solve a addition inequality, use the Multiplication Property of Inequality.

When multiplying both sides of an inequality by a the negative number, you MUST reverse the inequality symbol to get a true statement.

Page 8: Solving Inequalities Using Multiplication or Division Honors Math – Grade 8.

Solve each inequality. Then graph the solution.

−12 𝑥+4 𝑥<4Group like terms.

To solve a multiplication inequality, use the Division Property of Inequality.

When dividing both sides of an inequality by a the negative number, you MUST reverse the inequality symbol to get a true statement.

Page 9: Solving Inequalities Using Multiplication or Division Honors Math – Grade 8.

Solve each inequality. Then graph the solution.

−20<−8𝑧 −2 𝑧Group like terms.

To solve a multiplication inequality, use the Division Property of Inequality.

When dividing both sides of an inequality by a the negative number, you MUST reverse the inequality symbol to get a true statement.

Page 10: Solving Inequalities Using Multiplication or Division Honors Math – Grade 8.

Solve each inequality. Then graph the solution.

− 𝑦−15𝑦<30

Group like terms.

To solve a multiplication inequality, use the Division Property of Inequality.

When multiplying both sides of an inequality by a the negative number, you MUST reverse the inequality symbol to get a true statement.