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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)

 Feb 19, 2021
 #1
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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.

 Feb 19, 2021

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