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Explain, without using a truth table, why (p q r ) (¬ p ¬
Chapter 1, Problem 41E(choose chapter or problem)
Explain, without using a truth table, why (p ? q ? r ) ? (¬ p ? ¬ q) is true when at least one of p, q , and r is true and at least one is false, but is false when all three variables have the same truth value.
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QUESTION:
Explain, without using a truth table, why (p ? q ? r ) ? (¬ p ? ¬ q) is true when at least one of p, q , and r is true and at least one is false, but is false when all three variables have the same truth value.
ANSWER:Solution: Step-1: In this problem we need to explain without using a truth table , is true. Given: is true. When at least one of p , q, and r is true and at least one is false , but is false when all three variables have the same truth value. Conjunction : If p and q are statements , then the statement is true