Can anyone please explain why the one is not the correct answer?
Let P(n,m) be a property about two integers n and m. If we want to disprove the claim that "For every integer n, there exists an integer m such that P(n,m) is true", then we need to prove that
1)There exists an integer n such that P(n,m) is false for all integers m.
2)For every integer m, there exists an integer n such that P(n,m) is false.
3)There exists integers n,m such that P(n,m) is false.
4)There exists an integer m such that P(n,m) is false for all integers n.
5)For every integer n, and every integer m, the property P(n,m) is false.
6)For every integer n, there exists an integer m such that P(n,m) is false.
7)If P(n,m) is true, then n and m are not integers.
1 answer
Why the 3rd one is not the correct answer and what is the correct answer?
1 answer