Which statement correctly describes the biconditional $A \leftrightarrow B$? A) $A$ is independent of $B$ B) $A$ is true only if $B$ is false C) $A$ and $B$ must both be true or bo... Which statement correctly describes the biconditional $A \leftrightarrow B$? A) $A$ is independent of $B$ B) $A$ is true only if $B$ is false C) $A$ and $B$ must both be true or both be false D) $A$ and $B$ must have different truth values
Understand the Problem
The question is asking for a correct description of the biconditional logical statement, symbolized as $A \leftrightarrow B$. This involves understanding how biconditional statements work in logic.
Answer
$A$ and $B$ must both be true or both be false
The final answer is that $A$ and $B$ must both be true or both be false
Answer for screen readers
The final answer is that $A$ and $B$ must both be true or both be false
More Information
A biconditional statement is true if and only if both components have the same truth value.
Tips
Do not confuse biconditional with implication or negation of statements.
Sources
- Solved True or False? Use your knowledge of truth functions - Chegg - chegg.com
- Theorem and Definition Reference - Stanford University - web.stanford.edu
- 2.4: Biconditional Statements - Mathematics LibreTexts - math.libretexts.org
AI-generated content may contain errors. Please verify critical information
Thank you for voting!
