Question

Select the point that is a solution to the system of inequalities.

y < x^2 +6
y > x^2 -4

A. (0,8)
B. (-2,-4)
C. (4,2)
D. (2,6)

Answer 1

D. (2, 6)

Explanation:

Look at the picture.

Check:

(2, 6) → x = 2, y = 6

Put the coordinates of the point to the inequalities:

y < x² + 6

6 < 2² + 6

6 < 4 + 6

6 < 10 TRUE

y > x² - 4

6 > 2² - 4

6 > 4 - 4

6 > 0 TRUE