Will you always have two solutions to an absolute value problem?

And is necessary , and or is sufficient condition.

Like if:

l X l < 7

- 7 < X < 7 -7---------+7

Solution of X in addition to be less than +7 has to be greater than -7 at the same time.(and)

However:

l X l > 7

X > 7 or X < -7 --------- -7 +7 -----------

Here either X =-8 or X = +8 are sufficient to be the solution.