Which of the following is the truth value of the biconditional statement p ↔ q when p is true and q is false?
Understand the Problem
The question is asking for the truth value of the biconditional statement p ↔ q when p is true and q is false. This involves understanding how truth values are assessed in logic, specifically in relation to biconditional statements.
Answer
False
The truth value of the biconditional statement p ↔ q when p is true and q is false is False.
Answer for screen readers
The truth value of the biconditional statement p ↔ q when p is true and q is false is False.
More Information
A biconditional statement is only true when both parts have the same truth value. It's a logical equivalence that requires both conditions to be either true or false together.
Tips
A common mistake is to misinterpret the requirement for both statements in the biconditional to hold the same truth value. Ensure alignment between p and q.
Sources
- 2.4: Biconditional Statements - Mathematics LibreTexts - math.libretexts.org
- Biconditional Statements - Math Goodies - mathgoodies.com
- 2.4 Truth Tables for the Conditional and Biconditional - OpenStax - openstax.org
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