Choose the true biconditional statement that can be formed from the conditional statement "If a natural number n is odd, then n2 is odd" and its converse.

A. n2 is not odd if and only if a natural number n is not odd.

B. A natural number n is odd if and only if n2 is odd.

C. A valid biconditional cannot be formed because the statement and its converse are not logically equivalent.

D. A natural number n is not odd if and only if n2 is not odd.

The answer

mathematics rules tell that

if A and B are two statements that are equivalents, that is also called biconditional statement, or " if and only if " statement

the general signification of biconditional statement and its converse is:

if A, then B and if B then A (the converse), A and B are equivalent statements

["If a natural number n is odd, then n2 is odd" and its converse ] does mean

A natural number n is odd if and only if n2 is odd.

the answer is B