Solve and graph the inequality: |x|

To solve the inequality, we'll have to apply the
definition of the absolute value:

|x|<c
<=> -c<x<c

For c = 3 =>
-3 < x < 3

We'll solve the simultaneous
inequalities:

-3 < x and x <
3

-3 < x <=> x belongs to the range
(-3 ; +infinite)

x < 3 <=> x belongs
to the range (-infinite ; 3)

We'll intercept
the intervals and the common solution for x is found in the opened interval (-3 ;
3).