document.write( "Question 699992: Please help me solve this irrational inequalities:
\n" ); document.write( " $\"sqrt%28%28x%5E3+-+2%29%2F%28x+-+1%29%29+%3C+x+\"$ \n" ); document.write( "

Algebra.Com's Answer #431607 by ankor@dixie-net.com(22740) $\"\"$ $\"About$

You can put this solution on YOUR website!
Please help me solve this irrational inequalities:
\n" ); document.write( " $\"sqrt%28%28x%5E3+-+2%29%2F%28x+-+1%29%29+%3C+x+\"$
\n" ); document.write( "square both sides
\n" ); document.write( " $\"%28x%5E3+-+2%29%2F%28x+-+1%29+%3C+x%5E2+\"$
\n" ); document.write( "multiply both sides by (x-1)
\n" ); document.write( "x^3 - 2 < x^2(x-1)
\n" ); document.write( "x^3 - 2 < x^3 - x^2
\n" ); document.write( "Subtract x^3 from both sides
\n" ); document.write( "-2 < -x^2
\n" ); document.write( "or
\n" ); document.write( "x^2 < 2
\n" ); document.write( "x < $\"sqrt%282%29\"$ \n" ); document.write( "

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