book Maths Puzzle Numerical Ability

How would I solve the inequality for the equation x - 1/x^2 < 0? I came up with the answer of (0,1). Would this be the correct answer or show me how to work for the correct answer.

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What is 0.47 rounded to the nearest tenth? Formula: 1020 square root of P (1-.01 square root of P)=G
If P is the population in thousands, this formula is the amount of water in gallons per minute the city needs.
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