Tuesday, 25 March 2014

solve for x if l 2x -3 l < 5

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)

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