If x and y are nonzero integers, is an integer?
(1) x is the product of 2 and some other integer.
(2) There is only one pair of positive integers whose product equals y.
integers
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You missed smth here:
"If x and y are nonzero integers, is an integer?"
Is who an integer? I'll assume it's x/y. Don't consider my explanation if this is not the case.
1. if x is the product of 2 and some other integer, this makes x even. But since we do not know anything about y, then we can't tell if x/y is an integer.
2. actually leads us to believe that y is prime, since only prime numbers have exactly one pair of positive divisors, 1 and the number itself. Since we don't have any more info about x, then we can't solve this one.
Taking both equations together won't help, so my guess is E.
"If x and y are nonzero integers, is an integer?"
Is who an integer? I'll assume it's x/y. Don't consider my explanation if this is not the case.
1. if x is the product of 2 and some other integer, this makes x even. But since we do not know anything about y, then we can't tell if x/y is an integer.
2. actually leads us to believe that y is prime, since only prime numbers have exactly one pair of positive divisors, 1 and the number itself. Since we don't have any more info about x, then we can't solve this one.
Taking both equations together won't help, so my guess is E.