Solve Inequalities Using Multiplication or Division

How would you solve the inequality?

• Multiply each side by 2

• Divide each side by 2

• Multiply each side by 7

• Add 2 to each side

Solve

• z≤1

• z>9

• z≤9

• z<9

When you have an integer or decimal coefficient, you use the ________.

• Addition Property of Equality

• Subtraction Property of Equality

• Multiplication Property of Equality

• Division Property of Equality

This inequality needs to be flipped. Choose the reason why:

When you use the reciprocal of a fractional coefficient to each side of an equation, you use the ___________.

• Addition Property of Equality

• Subtraction Property of Equality

• Multiplication Property of Equality

• Division Property of Equality

When do you have to flip the inequality symbol?

• When you add or subtract a negative

• When you multiply or divide by a negative number

• When you combine like terms

• When you multiply or divide by a positive number

If you divide an inequality with a less than sign by -3, what inequality sign would it change to?

Solve.

- 8 > 56 - 8b

• b > 8

• b > 7/2

• b < -8

• b > 6

Solve. (hint: need to get rid of the 3 first)

• x > 19

• x ≥ 11

• x < 11

• x ≤ 19

x/4 > -3

• x > -12

• x < -12

• x > -7

• x < 1