Question

Question 1 of 10

Select the point that is a solution to the system of inequalities.
y y>x^2-4

Answer 1

a) (1,2)

Explanation:

`y < x^2 + 3\\y > x^2 - 4`

a.

`2 < 1^2 + 3\\2 > 1^2 - 4`

`2 < 1 + 3\\2 > 1 - 4`

`2 < 4\\2 > -3`

Both equations are true

b.

`0 < 4^2 + 3\\0 > 4^2 - 4`

`0 < 16 + 3\\0 > 16 - 4`

`0 < 19\\0 > 12`

Both equations are false

c.

`-4 < -2^2 + 3\\-4 > -2^2 - 4`

`-4 < 4 + 3\\-4 > 4 - 4`

`-4 < 7\\-4 > 0`

Only one equation is true (-4 < 7)

d.

`4 < 0^2 + 3\\4 > 0^2 - 4`

`4 < 0 + 3\\4 > 0 - 4`

`4 < 3\\4 > - 4`

Only one equation is true (4 > -4)

Therefore, our final answer is a) (1,2)

Hope this helps!