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26 December, 17:54

If x + y is rational, must x and y each be rational?

A) Yes; because the sum of rationals is rational.

B) No; because the sum of irrationals is always irrational.

C) No; because x and y could be additive inverses of each other.

D) Yes; because x and y must be integers, and integers are rational.

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  1. 26 December, 18:04
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    It depends because x could be pi and y could be - pi. Both are irrational though they add up to 0 which is rational so I dont know, either B or C
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