l 2x - 3 l < 5

Let us rewrite:

==> (2x -3 ) < 5 OR -(2x -3) < 5

Or we could write:

-5 < 2x - 3 < 5

Now add 3 to all sides:

==> -2 < 2x < 8

Now divide by 2:

==> -1 < x < 4

Then x belongs to (-1, 4)

l 2x - 3 l < 5

Let us rewrite:

==> (2x -3 ) < 5 OR -(2x -3) < 5

Or we could write:

-5 < 2x - 3 < 5

Now add 3 to all sides:

==> -2 < 2x < 8

Now divide by 2:

==> -1 < x < 4

Then x belongs to (-1, 4)