Solving Inequalities

Solving Inequalities

It's just like solving equations!!!

Multiple Select

 $x>2$  
x is greater than -2.  Check all of the numbers that make this inequality true.

• x = -5

• x = 9

• x = 0

• x = 4

• x = -3

When solving one-step inequalities...

• We need to isolate the variable.

• We isolate the variable by using the inverse operation.

• Whatever we do on one side, we must also do on the other side.

It looks the same as solving equations.

What is the only difference?

The only difference is the sign! Instead of an equal sign, we have an inequality sign.

Multiple Choice

 $x\ +\ 5\ >\ 9$  

How do you think we would solve this inequality?

• add 9 to both sides

• subtract 5 from both sides

• add x to both sides

Multiple Choice

 $4m\ <\ 8$  

How do you think we would solve this inequality?

• add 8 to both sides

• subtract 4 from both sides

• divide both sides by 4

Multiple Choice

 $g\ -\ 3\ \le\ 8$  

How do you think we would solve this inequality?

• add 3 to both sides

• subtract 8 from both sides

• add 8 to both sides

• subtract 3 from both sides

Multiple Choice

 $\frac{s}{2}\ \ge\ 3$  

How do you think we would solve this inequality?

• add 2 to both sides

• subtract 3 from both sides

• multiply both sides by 2

• divide both sides by 2

Multiple Choice

 $h\ +\ 4\ <\ 9$  

Try solving this inequality on your own.

•  $h<9$  

•  $h<5$  

•  $x=5$  

•  $x>5$  

Multiple Choice

 $y\ -\ 3\ \ge\ 5$  

•  $y<5$  

•  $y=7$  

•  $y\ge8$  

•  $y>2$  

Multiple Choice

 $\frac{m}{2}\ >\ 5$  

•  $m>10$  

•  $y=7$  

•  $m>7$  

•  $m<2$  

Multiple Choice

 $3r\le6$  

•  $r<5$  

•  $r=7$  

•  $r\ge6$  

•  $r\le2$