SOLUTION: Please help me solove this inequality using interval notation: {{{ (x-8)/(x+6) }}} <0

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Question 97112: Please help me solove this inequality using interval notation:
+%28x-8%29%2F%28x%2B6%29+ <0
Answer by mathslover(157) About Me  (Show Source):
You can put this solution on YOUR website!
For the expression +%28x-8%29%2F%28x%2B6%29+ <0 to be true
we have 2 cases:
case 1: numerator >0 , denominator < 0
so we have x-8 > 0 or x>8
and x+6< 0 or x<-6
Clearly no such x satisfies both the conditions simultaneously
case 2: numerator < 0 , denominator > 0
so we have x-8 < 0 or x < 8
and x+6 > 0 or x> -6
so we have -6< x < 8 or (-6,8) as the solution set