SOLUTION: What values make the inequality x+6/6-x<0 true?

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Question 944880: What values make the inequality x+6/6-x<0 true?
Answer by MathLover1(20850) About Me  (Show Source):
You can put this solution on YOUR website!

%28x%2B6%29%2F%286-x%29+%3C+0
denominator cannot be zero; so, %286-x%29 will be +0 if x=6
it means x must be greater then 6
highlight%28x+%3E+6%29
the values of x are:{ 7,8,9,......}
and these values make the inequality %28x%2B6%29%2F%286-x%29+%3C+0 true


try for x=7
%287%2B6%29%2F%286-7%29+%3C+0
13%2F-1+%3C+0
-13%3C0 which is true