Mathematical Logic And Boolean Algebra Question 29

Question: The logically equivalent proposition of $ p\Rightarrow q $ is

Options:

A) $ (p\Rightarrow q)\vee (q\Rightarrow p) $

B) $ (p~\vee ,q)\Rightarrow (p\vee q) $

C) $ (p~\wedge ,q)\vee ,(p\vee ,q) $

D) $ (p~\Rightarrow q)~\wedge ,(q\Rightarrow p) $

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Answer:

Correct Answer: D

Solution:

[d] The logically equivalent proposition of $ p\Rightarrow q $ is $ (p\Rightarrow q) $ $ (p\Rightarrow q)\Rightarrow (q\Rightarrow p) $