Solving Inequalities Multiply and Divide

Solving Inequalities by Multiplication and Division

By Omar Shishani

Poll

Just before we start, do you remember how we used to solve one step and two step equations?

• Yes

• No

• A little

Multiple Choice

Solve the following one step equation:

$$3x=15$$  

• x = 5

• $$x=\frac{3}{15}$$  

• $$x=45$$  

Multiple Choice

Solve the following one step equation:

$$2x=28$$  

• x = 14

• $$x=\frac{2}{28}$$  

• $$x=56$$  

Multiple Choice

Solve the following one step equation:

$$\frac{x}{6}=5$$  

• x = 30

• $$x=\frac{5}{6}$$  

• $$x=\frac{6}{5}$$  

Multiple Choice

Solve the following one step equation:

$$\frac{8}{x}=4$$  

• x = 2

• $$x=0.5$$  

• $$x=32$$  

Multiple Choice

Solve $$15k\le45$$  

• $$k\le3$$  

• $$k\ge3$$  

• $$k\le657$$  

Multiple Choice

Solve $$8k\le56$$  

• $$k\le7$$  

• $$k\ge7$$  

• $$k\le6$$  

Solution

• Divide both sides by -3

• reverse the inequality symbol

Multiple Choice

Solve
-5m < 10

• m < -2
• m > -2
• m < -50
• m > -50

Multiple Choice

-8x < 48

• x < -6
• x > -6
• x < 6
• x > 6

Multiple Choice

Solve the inequality.

• x ≤ 6
• x ≥ 6
• x ≤ -6
• x ≥ -6

Multiple Choice

Solve

• z ≤ 1

• z > 9

• z ≤ 9

• z < 9

Multiple Choice

Solve the inequality.

• c > -3
• c < -3
• c > 3
• c < 3

Multiple Choice

Solve

• x < -21
• x ≥ 21
• x = 214
• x ≤ -124

Multiple Choice

Solve

• x < -96
• x < 20
• x = 6
• x > 96

Multiple Choice

Solve 

• a ≤ 1

• a ≤ 25

• a > 1

• a < 25

Multiple Choice

Solve

• m < 3
• m ≥ 48
• m = -48
• m ≤ -48

Multiple Choice

Solve the inequality

$$\frac{6}{7}n<18$$  

• $$n<21$$  

• $$n>21$$  

Multiple Choice

Solve the inequality

$$-\frac{6}{7}n<18$$  

• $$n<-21$$  

• $$n>-21$$  

Multiple Choice

Solve the inequality

$$-\frac{2}{3}x<18$$  

• $$x<-27$$  

• $$x>-27$$  

Multiple Choice

Solve the inequality

$$-\frac{5}{2}x\ge15$$  

• $$x\le-6$$  

• $$x\ge-6$$  

• $$x\ge-8$$  

• $$x\le-8$$