Solve Inequalities by Addition or Subtraction

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

 $n\ +\ \frac{3}{4\ }>2$  

•  $n\ \ge1\ \frac{1}{4}$  

•  $n\ >\ 1\ \frac{1}{4}$  

•  $n\ <\ 1\ \frac{1}{4}$  

•  $n\le\ 1\ \frac{1}{4}$