-8< 2x-2 <0 how to graph

Question

graph on number line

 

Answer 1

-8 < 2x-2 < 0

 

-6 < 2x < 2        [Added 2 to all parts of the inequality]

 

-3 < x < 1         [Divided all parts of the inequality by 2]

 

On the number line, the solution exists between, but not including, -3 and +1.

 

   -4   -3   -2   -1     0     1    2    3    4    5

<--|---o==|==|==|==o---|---|---|---|--->

 

Place open circles at -3 and +1 to indicate that they are not part of the solution.  Darken (I used == marks) the number line between the circles at -3 and +1.  That is the solution.