SOLUTION: Solve the rational inequality for X. (12/x+1)+4>(30/x+2)

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Question 863594: Solve the rational inequality for X. (12/x+1)+4>(30/x+2)
Answer by lwsshak3(11628) About Me  (Show Source):
You can put this solution on YOUR website!
12%2F%28x%2B1%29%2B4%3E30%2F%28x%2B2%29
12%2F%28x%2B1%29-30%2F%28x%2B2%29%2B4%3E0
12(x+2)-30(x+1)+4(x+2)(x+1)>0
12x+24-30x-30+4(x^2+3x+2)>0
12x+24-30x-30+4x^2+12x+8)>0
4x^2-6x+2>0
2x^2-3x+1>0
(2x-1)(x-1)>0
number line:
<....+....1/2....-....1...+....>
solution:
(-∞,1/2) U (1, ∞)