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)

Answer 2

Simply put the points in equation and check which point satisfies both equations

Answer 3

y>x+4
for (1,6)
6>1+4
6>5, which is true

y > -x + 2
for (1,6)
6>-1+2
6>1 which is true

so (1,6) is set of solution for both the inequalities.