Question

Which point lies in the solution set for the following system of inequalities?
y > x + 4
y > -x + 2

(1, 6)

(-2, -1)

(-3, 2)

(1, 1)

Answer 1

(1,6)
You plug them into the inequalities and check if the coordinate points make them true.

y > x+4
(6) > (1) +4
6 > 5, this is true.

y> -x +2
(6) > -(1) + 2
6 > 1, this is also true.