6th Grade Math Textbook, Fundamentals

Multiplication Property of Inequality Multiply by a positive number

3 1 2(3) 2(1) 6 2 true statement true statement

Multiply by a negative number

4 is to the right of 3. 8 is to the left of 6.

4 3 2(4)? 2(3) 8 6

Division Property of Inequality Divide by a positive number

4 6 4 2 6 2 2 3 true statement true statement

Divide by a negative number

9 is to the left of 6. 3 is to the right of 2.

9 6 9 (3)? 6 (3) 3 2

012345 9 8 7 6 5 4

9 8 7 6 5 4 012345

Key Concept

When you divide both sides of an
inequality by the same positive
number, you get a true statement.

When you divide both sides of an
inequality by the same negative
number andyou reverse the inequality
symbol, you get a true statement.

Division Property of Inequality

Divide both sides by 2

Multiply both sides by 2

Lesson 3-3 for exercise sets. &KDSWHU

3UDFWLFH $FWLYLWLHV

Write an inequality for each model. Then tell which property of inequality is illustrated.

3.Discuss and Write Explain how you would model subtracting 1 from both sides of 7 5 using algebra tiles.

Multiply both sides by 2.

Divide both sides by 3.

2 equal groups

Reverse the inequality symbol.

Key Concept

When you multiply both sides of an
inequality by the same positive
number, you get a true statement.

When you multiply both sides of an
inequality by the same negative
number andyou reverse the inequality
symbol, you get a true statement.

Multiplication Property of Inequality