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18 June, 05:14

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.

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Answers (1)
  1. 18 June, 06:07
    0
    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
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