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rational inequality, math

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2 6
___ + ____ < or = - 5

X X - 1


Can some one please clearly show me how to answer this and put the solution in interval notation?


You need to find another way to write the inequality more clearly. Try using / for division and parentheses for clarification of operations. Do you mean
(2/x) + [6/(x-1)] <or= -5 ?

Try rewriting with a common denominator for all terms first. That will help you get rid of the reciprocals 1/x and 1/(x-1) . Do the = case first and worry about the inequality case later.

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