Solving Multi-Step Inequalities

​NOTES

Solving Multi-Step Inequalities

Multiple Choice

What is the matching inequality?

• $$x\le5$$  

• $$x>5$$  

• $$x\ge5$$  

• $$x<5$$  

Multiple Choice

What is the matching inequality?

• $$x>-2$$  

• $$x\le-2$$  

• $$x\ge-2$$  

• $$x<-2$$  

Multiple Choice

What is the matching inequality?

• $$x<-8$$  

• $$x\ge-8$$  

• $$x\le-8$$  

• $$x>8$$  

Multiple Choice

What is the matching inequality?

• $$x\ge4$$  

• $$x>4$$  

• $$x<4$$  

• $$x\le4$$  

Multiple Choice

Solve the inequality.

$$x+6\le7$$  

• $$x<1$$  

• $$x>1$$  

• $$x\le1$$  

• $$x\ge1$$  

Multiple Choice

Solve the inequality.

$$3\le x-5$$  

• $$x\ge8$$  

• $$x\ge2$$  

• $$x\le8$$  

• $$x\ge1$$  

Multiple Choice

Solve the inequality.

$$-3x\ge15$$  

• $$x\ge-5$$  

• $$x\ge5$$  

• $$x\le5$$  

• $$x\le-5$$  

Multiple Choice

Solve the inequality.

$$-3>\frac{x}{-7}$$  

• $$x>21$$  

• $$x<21$$  

• $$x>-21$$  

• $$x<-21$$  

​Ex. 1:

​Ex. 1:

​Ex. 1:

​Ex. 1:

​Ex. 1:

​Ex. 2:

​Ex. 2:

​Ex. 2:

​Ex. 2:

​Ex. 2:

​Ex. 3:

​Ex. 3:

​Ex. 3:

​Ex. 3:

​Ex. 3:

​Ex. 4:

​Ex. 4:

​Ex. 4:

​Ex. 4:

​Ex. 4:

or

Fill in the Blank

$$-4-5x<-29$$  

Fill in the Blank

$$-1+4x<31$$  

Fill in the Blank

$$-2+\frac{x}{9}>-1$$  

Fill in the Blank

$$-52<8-5x$$  

Fill in the Blank

$$8-7x>-20$$  

Fill in the Blank

$$-9>-8+\frac{x}{-6}$$