Question

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

Answer 1

Take each point, plug it into each inequality. Whichever point results in two true sentences is the answer.

Answer 2

add them first
2y > -x + 4y +2
2y - 4y > -x + 2
-2y > -x + 2
-y > -x/2 + 1
y < x/2 + 1
So if you have a line, y = x/2 + 1, with slope = 1/2 and y-intercept = 1, then all the Y values below this line are included in the set

Answer 3

(-4, 0)

(-3, 2)

(2, -1)

(0, 6)

Answer 4

Plug them in.