For Example In this image above
The quadratic inequality is "Y is less than 2x^2+4x-8" Because it is a less than sign the quadratic is dashed. Than you pick a test point. Above the test point picked is (0,0). You plug in (0,0) in the inequality and if the statement isn't true you shade the outside, if it is true you shade in the parabola.
And that is how you solve Quadratic Inequalities!
Try this:
y > x^2+7x+10
Sources:
- http://algebratesthelper.com/wp-content/uploads/2011/02/graphing-quadratic-inequalities.jpg