Question

Which of the following points lie in the solution set to the following system of inequalities?

y > -3x + 3
y > x + 2

(2, -5)

(-2, 5)

(2, 5)

(-2, -5)

Answer 1

2,5

Answer 2

Try the first coordinate for x and the second for y. Example: (2,5)
5 > -3*2 + 3 -> 5 > -3 which is correct
5 > 2 + 2 -> 5 > 4 which is also correct. Try out the other points to see if there's anything left.

Answer 3

we could do it right way. Make the graphice for the two lines. We see that the area where y> x isupper, so both answers are positive

Answer 4

Like this