Question

Which of the following is a true biconditional statement?A. A U.S. citizen votes if and only if the person is at least 18 yearsold.B. The product of two integers is odd if and only if the two factorsare odd.C. If a figure does not have four sides, then the figure is not a square.D. A number is a real number if and only if it is a positive integer

Answer 1

A statement is said to be a Biconditional Statement if it is a combination of a conditional statement and its converse written in the if and only if form.

From the given statements:

Option A

Conditional Statement: (False) If the US citizen is at least 18 years old, then he votes.

Converse:f a Us S citizen votes, then he is at least 18 years old. (True)

Option B

Conditional Statement: The product of two integers is odd if the two factors

are odd. (True)

Converse: If the two factors are odd, the product of two integers is odd. (True)

Option C

Conditional Statement: If a figure does not have four sides, the figure is not a square. (True)

Converse: If a figure is not a square, it does not have four sides. (False)

Option D

Conditional Statement: A number is a real number if it is a positive integer. (False)

Converse: If it is a positive integer, the number is a real number (True)

Therefore, Option B is a True Biconditional Statement as its Conditional Statement and Converse are both true. If a US citizen votes, then he is at least 18 years old.

Option B

f a US citizen votes, then h

A statement is said to be a Biconditional Statement