Which of the following is a negation for \"Given any integers a and b , if a and

Question

Which of the following is a negation for

"Given any integers a and b, if a and b are prime then a/b is not an integer."

There exist integers a and b such that a and b are not prime and a/b is an integer.

Given any integers a and b, a and b are prime and a/b is an integer.

There exist integers a and b such that a and b are prime and a/b is an integer.

Given any integers a and b, if a and b are not prime thena/b is an integer.

There do not exist integers a and b such that a and b are prime and a/b is an integer.

There exist integers a and b such that a and b are not prime and a/b is an integer.

Explanation / Answer

The last statement is correct as there exist no integers a and b such that a and b are prime and a/b is an integer.

Reson is prime numbers are not divisible by any number except themselves. So if two different prime numbers are divided, they can never form an integer. It will always be a fraction.

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