Question

I don't understand how to solve these. Help?

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

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

A. (2, -5)

B. (-2, 5)

C. (2, 5)

D. (-2, -5)

they aren't the answers i'm getting

Answer 1

well doyou know how to solve system of equations?

Answer 2

ummm, y=mx+b ?

Answer 3

the way to do this is replace x and y in the relations with numbers and see if the relation is true.

For example, choice A is (2,-5)
these pairs always mean (x,y). In other words x =2 and y= -5
use those numbers in

y > -3x + 3 --> -5 > -3*2 +3 ?
y > x + 2 --> -5 > 2+2 ?

the first simplifies to -5 > -3 not true
no need to check the 2nd, but if we did: -5 > 4 is also not true
so choice A does not work

can you test the other choices ?

Answer 4

thank you! I didn't know I had to gtest all the choices.. loll