SOLUTION: Solve the inequalities, and express the solutions in terms of intervals 4/(6 - x) < 0

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Question 708095: Solve the inequalities, and express the solutions in terms of intervals
4/(6 - x) < 0

Answer by josgarithmetic(39617) About Me  (Show Source):
You can put this solution on YOUR website!
6-x <> 0, so x<>+6.

Be sure you understand also that (+)/(+)>0, so you cannot allow 6-x to be positive. What is next? If 6-x can NOT be positive, then it MUST be negative.

Starting with the given, 4/(6 - x) < 0, and knowing 6-x must be negative,
we have 6-x<0,
highlight%286%3Cx%29.

In interval notation, (6, +infinity).