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
< <
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