Question

Construct the truth table for the statement pattern: \[ [(p \rightarrow q) \land q] \rightarrow p \]

Hint:

The truth table helps determine whether a logical statement is always true (tautology) or false under some conditions (contingency).

Answer 1

Step 1: Understanding Logical Operators 
- \( p \rightarrow q \) means "If \( p \), then \( q \)". 
- \( \land \) represents logical AND. 
- \( \rightarrow \) represents logical implication. 
Step 2: Constructing the Truth Table