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

look at choice D (just picking on a random choice)

plug in (1,1) into y > x + 4 to get


y > x + 4

1 > 1 + 4

1 > 5

which is false

Answer 2

since it's false, this means that (1,1) is not part of the solution set of y > x+4 and the entire system

so that rules out choice D

Answer 3

you would do the same for the other choices and see which choice makes both inequalities true

Answer 4

B

Answer 5

what do you get when you plug choice B into the first inequality?