Question

The negation of the statement "Some even integers are prime" is/are:

• A. Some even integers are not prime
• B. No even integer is prime
• C. It is true that some even integers are prime
• D. It is false that some even integers are prime

Answer 1

Answer: (A), (B), (D)

It is false that some even integers are prime

Given statement $P:$ Some even integers are prime.
We have to find negation of given statement $\left(P\right).$
Clearly, below statements express the Negation of $P(\text{i.e.}\sim P)$
Some even integers are not prime.
No even integer is prime.
It is false that some even integers are prime.