SOLUTION: how to solve the rational expression 2b-2/2b^2-8 in set notation

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Question 947733: how to solve the rational expression
2b-2/2b^2-8 in set
notation
Answer by MathLover1(20850) About Me  (Show Source):
You can put this solution on YOUR website!

%282b-2%29%2F%282b%5E2-8%29
2%28b-1%29%2F2%28b%5E2-4%29
cross%282%29%28b-1%29%2Fcross%282%29%28b%5E2-2%5E2%29
%28b-1%29%2F%28%28b-2%29%28b%2B2%29%29
to have a solution, we need to exclude all values of b that make denominator equal to zero, and they are
%28b-2%29%28b%2B2%29=0
if %28b-2%29=0=>b=2
if %28b%2B2%29=0 =>b=-2
the solution set is { x | x is a real number and x%3C%3E2 and x%3C%3E+-2 }
or
(-infinity,-2) U (-2,2) U (2,infinity)