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Question

Mathematics Question on mathematical reasoning

Which of the following statements is a tautology?

A

((p)q)p((∼p)∨q)⇒p

B

p((p)q)p⇒((∼p)∨q)

C

((p)q)q((∼p)∨q)⇒q

D

q((p)q)q⇒((∼p)∨q)

Answer

q((p)q)q⇒((∼p)∨q)

Explanation

Solution

Truth table
Which of the following statements is a tautology
So, the correct option is (D): q((p)q)q⇒((∼p)∨q).