# Thread: Another inequation to solve

1. ## Another inequation to solve

$\displaystyle -x<x^2<2x+1$

a<x<b

What are a and b?

2. That inequality splits out into two ones, then solve each one of them separately.

Having solution set of one and solution set of the other one, intersect this solutions set to get full solution set.

3. Originally Posted by shrrikesh
$\displaystyle -x<x^2<2x+1$

a<x<b

What are a and b?
Drawing graphs of y = -x, y = x^2 and y = 2x + 1 and finding the x-coordinates of the intersection points of y = -x and y = 2x + 1 with y = x^2 will help you see what's happening in this inequality.