Solving 1 Step Inequalities by Mult/Divide

Solving 1 Step Inequalities

by Scott Donnelly

Solving 1 Step Addition/Sub

Steps

1. Use inverse operations, same as solving equation, to isolate variable.

2. Whatever is done to one side needs to be done to other.

3. Graph the inequality.

Draw

Solve and graph inequality

$$x-\left(-4\right)\ge15$$  

​Solving Inequality

​When multiplying or dividing by a positive number

1. ​Multiply or divide regularly

2. ​Inequality sign remains the same

3. ​Graph the inequality

   1. ​Determine if open or closed dot

   2. ​Draw the line

​Examp

​Example

​Steps

​​When multiplying or dividing by a negative number

1. ​Multiply or divide regularly

2. ​Inequality sign will flip over

3. ​Graph the inequality

   1. ​Determine if open or closed dot

   2. ​Draw the line

​Example

​Example

Multiple Choice

Will the sign flip

$$5x<-15$$  

• Yes

• No

Multiple Choice

Solve for x

$$5x<-15$$  

• $$x>3$$  

• $$x<3$$  

• $$x<-3$$  

• $$x>-3$$  

Multiple Choice

Open or closed dot and which way

$$5x<-15$$  

• Open to the left

• Open to the right

• Closed to the left

• Closed to the right

Multiple Choice

Will the sign flip

$$-\frac{x}{4}\le-2$$  

• Yes

• No

Multiple Choice

Solve the inequality

$$-\frac{x}{4}\le-2$$  

• $$x\le8$$  

• $$x\ge-8$$  

• $$x>8$$  

• $$x\ge8$$  

Multiple Choice

Open or closed and which way

$$-\frac{x}{4}\le-2$$  

• Closed to the left

• Closed to the right

• Open to the left

• Open to the right 

Draw

Solve the inequality and graph on dry erase board

$$-\frac{x}{5}<2$$  

Draw

Solve the inequality and graph on dry erase board

$$8x<-32$$