What's the best method for solving these without a graph.

Find $\displaystyle \left\{ x:x^{\frac{3}{2}}>x^2 \right\}$

Thanks for your help

Edit- Oops, wrong thread.

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- Jul 13th 2009, 01:21 AMStroodleInequality Question
What's the best method for solving these without a graph.

Find $\displaystyle \left\{ x:x^{\frac{3}{2}}>x^2 \right\}$

Thanks for your help

Edit- Oops, wrong thread. - Jul 13th 2009, 03:01 AMPlato
- Jul 13th 2009, 05:29 AMmathaddict
- Jul 13th 2009, 07:47 AMKrizalid
It's clear that both sides are positive, so you can square them, thus $\displaystyle x^3>x^4\implies x^2\cdot x(x-1)<0.$

I think you can continue.