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)

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)

anonymous · Answer

what do you think?

anonymous · Answer

Well I don't know how to solve it so I don't think anything.

anonymous · Answer

There are a few ways to do this but the easiest is to take each point and put it in both equations and see if it is true.

For instance, the point (1,1)
y > x + 4
y > -x + 2

1> 1 + 4  =  1 > 5  = false
1> -1 + 2 = 1>1  = false

Although we have false in both equation, it only takes one false for it not to be a solution so point (1,1) us not the answer. Can you finish?