SOLUTION: Could you please help me with this inequality? ( ">=" is supposed to be greater than or equal to) Solve the inequality. {{{ x/(x+1)>=3x }}}

Algebra ->  Inequalities -> SOLUTION: Could you please help me with this inequality? ( ">=" is supposed to be greater than or equal to) Solve the inequality. {{{ x/(x+1)>=3x }}}      Log On


   

Question 152185: Could you please help me with this inequality? ( ">=" is supposed to be greater than or equal to)
Solve the inequality. +x%2F%28x%2B1%29%3E=3x+
Answer by oscargut(2103) About Me  (Show Source):
You can put this solution on YOUR website!
+x%2F%28x%2B1%29%3E=3x+
then
+x%2F%28x%2B1%29-3x%3E=0+
then
+%28x-3x%28x%2B1%29%29%2F%28x%2B1%29%3E=0+
+%28-3x%5E2-2x%29%2F%28x%2B1%29%3E=0+
+x%2A%28-3x-2%29%2F%28x%2B1%29%3E=0+
sign of x*(-3x-2)is --------0++++++0-----
.............................................-2/3...........0
sign of x+1 is --0+++++++++++++++
..........................-1
sign of f(x) +++*-----0++++++0----- (* symbol means does not exists)
.........................-1..........-2/3........0
then f is >=0 when x<-1 or -2/3