Absolute Value Inequalities

Solution set between two values: 
| x | < 6 is equivalent to
-6 < x < 6, or on the number line:

      -6      6
<......°——————°.......>

for |x| £ 6, the number line diagram is

      -6      6
<......•——————•.......>

Solution set in two intervals:
| x | > 6 is equivalent to
x < -6 or x > 6 

      -6      6
<——————°......°——————>

for |x| ³ 6, the number line diagram is

      -6      6
<——————•.......•——————>