FP1 - Inequalities question

How do I solve the inequality x^2<1/x and reach the conclusion 0<x<1.

I've tried to manipulate the algebra, and end up with (x^3-1)/x<0 but I'm not sure what this graph looks like - and I don't want to have to figure it out, I'm sure there's a better way of solving this question.

pls help

Reply 1

DFranklin

From x^2 < 1/x try multiplying both sides by x^2 (since this is positive it doesn't effect the inequality).

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