Quadratic Inequalities

Question

For the inequality y-x > -x^2-1 where is the graph shaded and is the curve solid or dotted?

1. A. below; dotted
2.  B. above; solid
3.  C. below; solid
4.  D. above; dotted

Answer 1

Moe,

If you solve the inequality for y, y>-x²+x-1 and sketch this curve you will see it's a parabola concave down.

The solution is all values of y that are greater than the parabola.

So the answer is shaded above and dotted. Dotted because the curve itself is not part of the solution.

Jim