book Maths Puzzle Numerical Ability

I was womdering if you could explain how to answer 3 problems:

1) x^2+x>0

2) x+3<-2/x

3) y=x^2+4x+1

Please explain each step so that I can use these are sample and model problems.

Thanks,

Char

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book Other Question

The length of a rectangle is 8 inches more than twice its width. If the perimeter of the rectangle is 28 inches, find the width of the rectangle i^-3

PLEASE SOLVE STEP-BY-STEP