- #1
someperson05
- 36
- 0
Hello, I have a real simple question.
Given, If x and y are two integers whose product is even, then at least one of the two must be even.
Is the contrapositive, If both x and y are odd, then the product of x and y is odd?
Similarly, If x and y are two integers whose product is odd, then both must be odd.
Is the contrapositive, If either x or y is even, then x and y are two integers whose product is even?
For some reason I get confused when it becomes an issue of negating quantifiers.
Thank you for your help.
Given, If x and y are two integers whose product is even, then at least one of the two must be even.
Is the contrapositive, If both x and y are odd, then the product of x and y is odd?
Similarly, If x and y are two integers whose product is odd, then both must be odd.
Is the contrapositive, If either x or y is even, then x and y are two integers whose product is even?
For some reason I get confused when it becomes an issue of negating quantifiers.
Thank you for your help.
