Question

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

(2, 3)

(0, -5)

(0, 5)

(1, 0)

Answer 1

test each case
let's test the 1st case

y < x + 4
y < -2x + 2
point (2,3) x = 2, y = 3

y < x + 4
(3) < (2) + 4
3 < 6 # now is 3 really less than 6? well yes, so that's true
-------------------------------------

y < -2x + 2
point (2,3) x = 2, y = 3

y < -2x+2
(3) < -2(2) + 2
3 < -2 #now is 3 really less than -2? well, no, so that's false

so 1st case gave true and false, so no dice

the solution point, will give you TRUE on both inequalities

so test the others