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Study the Assertion and Reason and choose the correct option.
The Equivalence expression is p ↔ q.
Assertion: The Equivalence expression is $p \leftrightarrow q$.
Reason: An Equivalence Statement always gives the final result as Contingencies.
- (a)Both A and R are true, and R is the correct explanation of A.
- (b)Both A and R are true, but R is not the correct explanation of A.
- (c)A is true, but R is false.
- (d)A is false, but R is true.
Answer
Answer
Correct option: c
Answer: (c) A is true, but R is false.
The biconditional/equivalence of p and q is written p <-> q, so A is true. R is false as a general claim: an equivalence statement is not always a contingency - for example p <-> p is a tautology (always true) and p <-> ~p is a contradiction (always false), so equivalence statements can also be tautologies or contradictions.