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

Question

Which point lies in the solution set for the following system of inequalities?

 x + y > 2
2x − y < 6

	 a. (3, −1)	
	 b. (0, 0)	
	 c. (4, 1)	
	 d. (1, 3)

anonymous · Answer

Do you know how to graph inequalities?

texaschic101 · Answer

try subbing in and see which ones work. But don't forget, they have to work in both inequalities for it to be correct.
I will do one for you...

(A) (3,-1)...x = 3 and y  -1

x + y > 2
3 + (-1) > 2
3 - 1 > 2
2 > 2 (false...2 is not greater then 2)

no need to check it with the other inequality because both inequalities have to come out true.

you can try the other answer choices now.

texaschic101 · Answer

or like Aimee said...you can graph the inequalities and see which points lies in the shaded regions

anonymous · Answer

ok thanks!

anonymous · Answer

Right :)