Question

Which graph represents the solution set of the system y ≤ x2 – 1 and x > y2 – 6?

Answer 1

The fourth option is indeed correct on Edge 2021.

Answer 2

The graph that represents the system of nonlinear inequalities is graph (a)

The nonlinear inequalities are given as:

$y \le x^2 - 1$

$x > y^2 - 6$

Rewrite the above nonlinear inequalities as:

$y - x^2 \le - 1$

$x -y^2 > -6$

$y - x^2 \le - 1$ means that the inequality has a solid line, and the outside part is shaded

$x -y^2 > -6$ means that the inequality has a dotted line, and the inner part is shaded

So, the graph that represents the system of nonlinear inequalities is graph (a)

Read more about the system of nonlinear inequalities at:

https://brainly.com/question/9248293