"If M is a finite set of negative integers, is the total number of integers in M an odd number?"
(1) Product of M = odd
(2) Product of all integers in M is negative.
I chose C, but the answer was B ... how can the answer by B? Can't we have for instance:
- two numbers, one positive and one negative, and thus the product of the integers in M is negative, but the total number is 2, which is an even number
OR
- three numbers, all negative, and thus the product is negative, but the total number of integers is 3, which IS an odd number?
...
Any insight would be very much appreciated! Thank you!
(1) Product of M = odd
(2) Product of all integers in M is negative.
I chose C, but the answer was B ... how can the answer by B? Can't we have for instance:
- two numbers, one positive and one negative, and thus the product of the integers in M is negative, but the total number is 2, which is an even number
OR
- three numbers, all negative, and thus the product is negative, but the total number of integers is 3, which IS an odd number?
...
Any insight would be very much appreciated! Thank you!
