Single Correct Answer Marks: 1 RevisitNegative Marking: NoThe compound propositions p and q are called logically equivalent if ________ is a tautology p → q¬ (p ∨ q)p ↔ q¬p ∨ ¬q
Question
Single Correct Answer Marks: 1 RevisitNegative Marking: NoThe compound propositions p and q are called logically equivalent if ________ is a tautology p → q¬ (p ∨ q)p ↔ q¬p ∨ ¬q
Solution
The compound propositions p and q are called logically equivalent if p ↔ q is a tautology. This is because the logical equivalence of p and q means that they always have the same truth value. In other words, if p is true, then q is also true, and vice versa. This is exactly what the biconditional operator (↔) expresses. Therefore, the correct answer is "p ↔ q".
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