Solve Inequalities by Adding and Subtracting

Solve Inequalities by Addition or Subtraction

Lesson 6.6

Inequality

-Is a mathematical sentence that compares quantities.

- You use these signs instead of an equal sign <, >

- Ex) 2 < 4

Multiple Choice

$$2\ +\ x\ \le13$$  

Is this an inequality?

• Yes

• No

Solve

 $x\ +\ 3\ >\ 10$  
 $-6\ \ge n\ -\ 5\$  
 $a\ +\ \frac{1}{2\ }\ <\ 2$  

Graphing your answer

• Open dot is used when the value should not be included as with <,>

• Closed dot is used when the value should be included as with

   $\le,\ge$  

Solve and Graph your solution

 $a\ +\ \frac{1}{2\ }<\ 2$  

 $h\ +\ 4\ >\ 4$ 

  $x\ -\ 6\ \le4$  

 $n\ +\ \frac{3}{4\ }>\ 2$  

Multiple Choice

$$6\ +\ h\ \ge12$$  

• $$h\ >6$$  

• $$h\ <\ 6$$  

• $$h\ge6$$  

• $$h\ \le6$$  

Multiple Choice

$$14\ +\ x\ >5$$  

• $$x\ >-9$$  

• $$x\ <-9$$  

• $$x\ \ge-9$$  

• $$x\ >9$$  

Multiple Choice

$$x\ +\ 5>12$$  

• $$x\le7$$  

• $$x\ge7$$  

• $$x\ >7$$  

• $$x\ <7$$  

Multiple Choice

$$n\ +\ \frac{3}{4\ }>2$$  

• $$n\ \ge1\ \frac{1}{4}$$  

• $$n\ >\ 1\ \frac{1}{4}$$  

• $$n\ <\ 1\ \frac{1}{4}$$  

• $$n\le\ 1\ \frac{1}{4}$$