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Question

Mathematics Question on mathematical reasoning

Which of the following statements is a tautology?

A

((∼p)∨q)⇒p((\sim p) \vee q) \Rightarrow p

B

p⇒((∼p)∨q)p \Rightarrow((\sim p ) \vee q )

C

((∼p)∨q)⇒q((\sim p ) \vee q ) \Rightarrow q

D

q⇒((∼p)∨q)q \Rightarrow((\sim p) \vee q)

Answer

q⇒((∼p)∨q)q \Rightarrow((\sim p) \vee q)

Explanation

Solution

The correct option is (D): q⇒((∼p)∨q)q \Rightarrow((\sim p) \vee q).