The logically equivalent proposition of p ⇔ q is

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Question: Answered & Verified by Expert

The logically equivalent proposition of

p \Leftrightarrow q

is

MathematicsMathematical ReasoningJEE Main

Options:

A $(p \land q) \lor (p \land q)$
B $(p \Rightarrow q) \land (q \Rightarrow p)$
C $(p \land q) \lor (q \Rightarrow p)$
D $(p \land q) \Rightarrow (q \lor p)$

Solution:

2123 Upvotes Verified Answer

The correct answer is:

(p \Rightarrow q) \land (q \Rightarrow p)

(p \Rightarrow q) \land (q \Rightarrow p)

means

p \Leftrightarrow q

.

Hence the logically equivalent proposition of

p \Leftrightarrow q

is

(p \Rightarrow q) \land (q \Rightarrow p)

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