Graphing Review plus Addition and Subtraction Inequalities

Graphing Review plus Addition and Subtraction Inequalities

Review Graphing and Solving Inequalities

There are four Inequality signs that we need to know.

Less Than, Less Than or Equal To,

Greater Than, Greater Than or Equal To

Multiple Choice

Please Identify this sign     $<$  

• Greater Than

• Less Than or Equal To

• Less Than

• Greater Than or Equal To

Multiple Choice

Please Identify this sign     $\ge$  

• Greater Than

• Less Than or Equal To

• Less Than

• Greater Than or Equal To

Multiple Choice

Please Identify this sign     $\le$  

• Greater Than

• Less Than or Equal To

• Less Than

• Greater Than or Equal To

Multiple Choice

Please Identify this sign     $>$  

• Greater Than

• Less Than or Equal To

• Less Than

• Greater Than or Equal To

Multiple Choice

Please Identify this sign     $\ne$  

• Greater Than

• Less Than or Equal To

• Not Equal To

• Greater Than or Equal To

Graphing Inequalities

Open circle for Greater Than/Less Than

Closed Circle for Greater Than or Equal To/Less Than or Equal To

Arrow pointing in the corresponding direction of your inequality sign

Multiple Choice

How would you graph the following Inequality?    x  $\le$  5

• Open circle on 5, arrow pointing to the left

• Open circle on 5, arrow pointing to the right

• Closed circle on 5, arrow pointing to the left

• Closed circle on 5, arrow pointing to the right

Adding and Subtracting Inequalities

• Same as you do for adding and subtracting equations

• Write the inequality

• Use inverse operations to isolate the variable

• Simplify

• Graph the results

• Check the solution

3.5  $<$  x + 6.25 

Solve this Inequality

3.5  $\ge$  x - 6.25 

Solve this Inequality

Multiple Choice

Solve the following Inequality
y + 15   $<$  3

• y  $<$  12

• y  $>$  -12

• y  $<$  18

• y  $<$  -12

Multiple Choice

Solve the following Inequality
x - 3   $\ge$  -10

• x  $\ge$  -7

• x  $\ge$  -13

• x  $\ge$  7

• x  $\ge$  13

Multiple Choice

y - 2   $<$  -5

Which Graph Represents this Inequality?

Multiple Choice

Solve the following

 $\frac{1}{4}$  + x  $<$   $\frac{5}{6}$  

• x  $<\ 1\frac{1}{12}$  

• x  $>\ \frac{7}{12}$  

• x  $<\ \frac{7}{12}$  

• x  $>\ 1\ \frac{1}{12}$  

Poll

Where would you rather be right now?

• Disney Land

• Hawaii

• New York

• Florida