Which of the following ordered pairs in the standard (x,y) coordinate plane satifies the system of inequalities below?
x>2
y>0
x+y<5
A. (4,0)
B. (3,1)
C. (3,2)
D. (1,3)
E. (2,2)
+1224 We can plug in all the answer choices and see if it satisfies all the inequalities.
A) x = 4, y = 0
4 > 2, 0 = 0 (doesn't work)
B) x = 3, y = 1
3 > 2, 1 > 0, 3 + 1 < 5 (works)
C) x = 3, y = 2
3 > 2, 2 > 0, 3 + 2 = 5 (doesn't work)
D) x = 1, y = 3
1 < 2 (doesn't work)
E) x = 2, y = 2
2 = 2 (doesn't work)
So, the answer is B.
