Can someone please tell me how to solve and graph this system of trinomial quadratic inequalities?
{y is greater than or equal to x^2+6x+12}
{y<-x^2-8x-12 }
draw the graphs as usual.
Shade the area above the first.
Shade the area below the second.
Where the two shaded areas intersect is the solution.
Note that the curve is included in the 1st, but excluded from the 2nd.
http://www.wolframalpha.com/input/?i=plot++y+%3D+-x^2-8x-12+%2C+y+%3D+x^2%2B6x%2B12