Solve |2x + 1| < 3 or |2x +1| > 3.    

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Given the inequality:

l 2x +1 l < 3

By definition, we can rewrite:

-3 < 2x+1 < 3

Now we will subtract -1 from all sides.

==> -4 < 2x < 2

Now we will divide by 2.

==> -2 < x < 1

Then the values of x belongs to the interval (-2, 1)

 

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