SOLUTION: Solve for the below rational inequalities: 2x-3/x+3 >= 4

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Question 1120993: Solve for the below rational inequalities:
2x-3/x+3 >= 4
Answer by josgarithmetic(39616) About Me  (Show Source):
You can put this solution on YOUR website!
%282x-3%29%2F%28x%2B3%29-4%28x%2B3%29%2F%28x%2B3%29%3E=0

%282x-3-4x-12%29%2F%28x%2B3%29%3E=0

%28-2x-15%29%2F%28x%2B3%29%3E=0

%282x%2B15%29%2F%28x%2B3%29%3C=0

The critical x-values are -15%2F2 and -3.
Check the intervals (-infinity, -15/2], [-15/2,-3], and [-3, infinity). See which satisfy the original inequality.