Question

Solve the compound inequality, showing your work. Name the solution set and then draw the graph of the solution set.y-2<-5 or y-2>5

Answer 1

$y - 2 \ \textless \ -5$
$y \ \textless \ -5 + 2$
$y \ \textless \ -3$

and 

$y - 2 \ \textgreater \ 5$
$y \ \textgreater \ 5 + 2$
$y \ \textgreater \ 7$

The value of y is greater than 7 and less than -3
The number line is shown below