Question

Which is a true conclusion based on the Venn diagram?

If a number is prime, it is also odd.
If a number is odd, it is also prime.
If a number is not odd, it cannot be prime.
If a number is prime, it may or may not be odd.

Answer 1

Assuming the Venn diagram shows the "prime" circle entirely inside the "odd" circle:

- True: "If a number is prime, it is also odd." (every prime lies inside odd)
- True (equivalent): "If a number is not odd, it cannot be prime." (being outside odd means outside prime)
- False: "If a number is odd, it is also prime." (odds include numbers not in prime)
- False: "If a number is prime, it may or may not be odd." (diagram says all primes are odd)

Note: In actual number theory this diagram would be incorrect because 2 is a prime that is even.