Inequality

**craig** · February 16th 2010, 10:26 AM

Hi, could someone give me hand solving this inequality, not sure what to do.

$\frac{x}{2} > 2 + \frac{9}{x}$

Multiply by 2

$x > 4 + \frac{18}{x}$

Rearrange a little

$\frac{18}{x} + 4 - x < 0$

Not sure where to go from here? Would the best method to multiply by $x^2$ or is there a better way?

Thanks in advance

**icemanfan** · February 16th 2010, 10:33 AM

You can multiply by $x^2$ , since $x \neq 0$ and hence $x^2$ is positive. I personally don't see a better way.

**craig** · February 16th 2010, 03:20 PM

Originally Posted by icemanfan

You can multiply by $x^2$ , since $x \neq 0$ and hence $x^2$ is positive. I personally don't see a better way.

Yeh that's what I was thinking. Thanks.

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