ScholarDen Representative
Joined: 21 Aug 2021
Posts: 119
Given Kudos: 6
Re: x and y belong to the set of non-zero integers
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04 Dec 2021, 03:46
We can consider multiple cases here to solve this question.
Case 1:
When x = 1 and y = -1:
Quantity A = xy = (1) * (-1) = -1
Quantity B = x + y = (1) + (-1) = 0
Quantity A < Quantity B
Case 2:
When x = 5 and y = -1:
Quantity A = xy = (5) * (-1) = -5
Quantity B = x + y = (5) + (-1) = 4
Quantity A < Quantity B
Case 3:
When x = 5 and y = 4:
Quantity A = xy = (5) * (4) = 20
Quantity B = x + y = (5) + (4) = 9
Quantity A > Quantity B
Case 4:
When x = -25 and y = -4:
Quantity A = xy = (-25) * (-4) = 100
Quantity B = x + y = (-25) + (-4) = -29
Quantity A < Quantity B
So, we can see that for different values of x and y, the quantities can behave differently.
Hence, the correct answer is Option D).