Which of the following is a biconditional statement?
Understand the Problem
The question is asking to identify which of the provided statements qualifies as a biconditional statement, meaning it must connect two conditions in a way that if one is true, the other must also be true.
Answer
5 is a prime number if and only if 25 is a composite number.
The final answer is '5 is a prime number if and only if 25 is a composite number.'
Answer for screen readers
The final answer is '5 is a prime number if and only if 25 is a composite number.'
More Information
A biconditional statement combines a conditional statement and its converse, and both must be true. It's expressed with 'if and only if'.
Tips
A common mistake is confusing biconditional statements with conditional ones, which only use 'if...then'.
Sources
- 2.4: Biconditional Statements - Mathematics LibreTexts - math.libretexts.org
- Biconditional Statements - Math Goodies - mathgoodies.com
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