SOLUTION: Please help me solve this irrational inequalities: {{{sqrt((x^3 - 2)/(x - 1)) < x }}}

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Question 699992: Please help me solve this irrational inequalities:
sqrt%28%28x%5E3+-+2%29%2F%28x+-+1%29%29+%3C+x+
Answer by ankor@dixie-net.com(22740) About Me  (Show Source):
You can put this solution on YOUR website!
Please help me solve this irrational inequalities:
sqrt%28%28x%5E3+-+2%29%2F%28x+-+1%29%29+%3C+x+
square both sides
%28x%5E3+-+2%29%2F%28x+-+1%29+%3C+x%5E2+
multiply both sides by (x-1)
x^3 - 2 < x^2(x-1)
x^3 - 2 < x^3 - x^2
Subtract x^3 from both sides
-2 < -x^2
or
x^2 < 2
x < sqrt%282%29