# 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