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Simple inequalities question

I have

\sqrt{n} > \dfrac{1}{\epsilon -2}

For

\epsilon > 2

the fraction is positive so I can square the inequality and get an equality for n in terms of epsilon. Thing is for when epsilon is less than 2 I'm stuck.

Can anyone give any pointers? Cheers.

Reply 1

ghostwalker

Original post by jamie092

Can anyone give any pointers? Cheers.

If epsilon is less than 2, what's the sign of the RHS?

PS: Going back to bed now.

Reply 2

jamie092

Original post by ghostwalker

If epsilon is less than 2, what's the sign of the RHS?

PS: Going back to bed now.

I know it's negative, I just don't know what to do with that knowledge =/

Reply 3

johnjohn

Original post by jamie092

I know it's negative, I just don't know what to do with that knowledge =/

Consider which values n can take such that sqrt(n) is greater than any negative number.

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Simple inequalities question

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