Question

Which point lies in the solution set for the following system of inequalities?

x + y > 2
2x − y < 6

(3, −1)

(0, 0)

(4, 1)

(1, 3)
??????????

Answer 1

Take each answer choice, one at a time, and plug them into each inequality

Answer 2

Checking choice A

x + y > 2

3 + (-1) > 2

3 - 1 > 2

2 > 2

Since that last inequality is false, (3,-1) does NOT work

Answer 3

So choice A is NOT the answer

Answer 4

ok

Answer 5

do the same with the other answer choices and rule out any choices you can

remember, the ordered pair has to work with BOTH inequalities

Answer 6

what about the second one?

Answer 7

second inequality or choice B?

Answer 8

sorry haha choice b wouldnt be it either correct?

Answer 9

you are correct

Answer 10

choice D? right

Answer 11

yes, you are 100% correct

You can verify this by graphing (what you see attached)