Consider the universe of positive integers X = {n | 1 ≤ n ≤ 8}, proposition P = "n is an even integer", Q = "(3 ≤ n ≤ 7) ∧ (n ≠ 6)". The truth set of P ↔ Q is
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Correct answer: A. {1, 4}
Explanation
P is true for {2, 4, 6, 8} and Q for {3, 4, 5, 7}. P ↔ Q holds where both are true (4) or both are false (1). Truth set = {1, 4}.More Discrete Structures and Optimisation questions
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