Question 81225
<pre>
12 < 5x - 3 < 22

Add 3 to all three sides:

12 < 5x - 3 < 22
+3       +3   +3
----------------
15 < 5x     < 25

Divide all three sides by the
coefficient of x, which is 5

{{{15/5}}} < {{{(5x)/5}}} < {{{25/5}}}

         3 < x < 5

The graph of this is

   ---------------------o=======o--------
   -2  -1   0   1   2   3   4   5   6   7    

and the interval notation is 

         (3, 5)

Edwin</pre>