SOLUTION: please solve the rational inequality. express answer in interval notation. {{{(x-2)/(x+6)<=5}}}

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Question 334454: please solve the rational inequality. express answer in interval notation.
%28x-2%29%2F%28x%2B6%29%3C=5
Answer by mananth(16946) About Me  (Show Source):
You can put this solution on YOUR website!
%28x-2%29%2F%28x%2B6%29%3C=5
multiply by (x+6)
..
%28%28x-2%29%2A%28x%2B6%29%29%2F%28x%2B6%29%3C=5%28x%2B6%29
..
x-2+%3C=5x%2B30
..
add -5x to both sides
x-2-5x%3C=5x-5x%2B30
-4x-2%3C=30
add +2 on both sides
-4x-2%2B2%3C=30%2B2
-4x%3C=32
divide+by+-4
%28-4x%2F-4%29%3E=%2832%2F-4%29
x%3E=-8