Question 201409: Solve the inequality.
((3x)/(7-x)) > x
Answer by RAY100(1637)   (Show Source):
You can put this solution on YOUR website! (3x) /(7-x) > x
3x > x(7-x)
3x> 7x -x^2
0> -x^2 +4x
0> x(-x +4)
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x<0,,,,x>4
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check ,,x<0,,use x=-1, -3/8 > -1,,,,,ok
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0less than x less than 4,,use x= 1,,,3/6>1,,,,,,not true
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x>4,,,use x=5,,,15/2 > 5,,,,,ok
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therefore ,,,x<0,,,x>4
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