Answer: Option B.
Step-by-step explanation:
Given the system of inequalities:
[tex]y<x^2+6[/tex]
[tex]y>x^2-4[/tex]
The solution of the system of inequalities is the region between the parabolas. This region is: below the parabola [tex]y=x^2+6[/tex] and above the parabola [tex]y=x^2-4[/tex]
Then, if a point is a solution of the system, then it must be in the region between this parabolas.
You can observe in the figure attached that the point that is in this region is the point (2,6), therefore, the answer is the option B.
