In the truth table for the disjunction p ∨ q, the result is false when:

Understand the Problem

The question is asking about the logical disjunction (OR operation) in a truth table involving two variables, p and q. It seeks to identify the condition under which the result of p OR q is false.

More Information

In a disjunction, the result is only false when both variables are false, making 'p ∨ q' false only when p and q are both false.

Tips

A common mistake is thinking p ∨ q is false if either p or q is false, but it requires both to be false.

Sources

• 3.2: Truth Tables- Conjunction (and), Disjunction (or), Negation (not) - math.libretexts.org