Question 1 (1 point) 
Let p and q denote false propositions. What is the truth value of the compound proposition below?

(p ∧ q) → ¬q 

Question 1 options:
	True
	False

Let's analyze the given compound proposition:

\[
(p \land q) \rightarrow \neg q
\]

Where:
- \( p \) is false,
- \( q \) is false,
- \( \land \) is the logical AND,
- \( \neg q \) is the negation of \( q \), which is true since \( q \) is false.

### Step-by-Step Breakdown:

1. **Evaluate \( p \land q \):**
   \[
   \text{Since both } p \text{ and } q \text{ are false, } p \land q \

Let p and q denote false propositions. What is the truth value of the compound proposition (p ∧ q) → ¬q?

Analyze the truth value of the logical proposition (p ∧ q) → ¬q where both p and q are false. Learn about logical connectives, negation, conjunction, and implications in propositional logic. Suitable for advanced high school or college-level students.

Math Problem Statement

Solution

Ask a new question for Free

By Image

Math Problem Analysis

Mathematical Concepts

Formulas

Theorems

Suitable Grade Level

Related Recommendation