SOLUTION: Solve the inequality. ((3x)/(7-x))

SOLUTION: Solve the inequality. ((3x)/(7-x)) > x

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)
.
x<0,,,,x>4
.
check ,,x<0,,use x=-1, -3/8 > -1,,,,,ok
.
0less than x less than 4,,use x= 1,,,3/6>1,,,,,,not true
.
x>4,,,use x=5,,,15/2 > 5,,,,,ok
.
therefore ,,,x<0,,,x>4
.

RELATED QUESTIONS
Solve the Inequality -x/7 + 4 >... (answered by College Student,checkley77)

solve the linear inequality... (answered by waynest)

solve the inequality. -x/7+4>3x thank you (answered by stanbon)

Solve the inequality. -x divided by 7 + 4 >=... (answered by stanbon)

Solve the inequality. 3x/6-x < x (answered by checkley77)

Solve the inequality... (answered by stanbon)

solve the inequality... (answered by jim_thompson5910)

Solve the inequality 7+ x... (answered by jim_thompson5910)

Solve the inequality 7+ x... (answered by mananth)