Answer:

 

-1 < x < 11

               3

3x – 4

< 

7

and

3x – 4

> 

7

+ 4

 

+ 4

 

+ 4

 

+ 4

3x

< 

11

 

3x

> 

-3

 

 

 

 

 

 

 

3x

      3

< 

11

 3

 

3x

      3

> 

-3

 3
             

x

< 

11

 3

and

x

> 

-1

 

 

 

Graph

 

 

 

 

 

 

 

 

 

 

 

 

Teacher Notes:

Because this is a “less than” statement, it is important the graphic solution show the solution as the intersection of two lines (in other words a between statement).  The solution is written as -1 < x < 11/3.