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Among the statements: \(\left(S_1\right)((p \vee q) \Rightarrow r) \Leftrightarrow(p \Rightarrow r)\) \(\left(S_2\right)…

Q1

Among the statements:
\(\left(S_1\right)((p \vee q) \Rightarrow r) \Leftrightarrow(p \Rightarrow r)\)
\(\left(S_2\right)((p \vee q) \Rightarrow r) \Leftrightarrow((p \Rightarrow r) \vee(q \Rightarrow r))\)

a

Only \(\left(S_1\right)\) is a tautology

b

Neither \(\left(S_1\right)\) nor \(\left(S_2\right)\) is a tautology

c

Only \(\left(S_2\right)\) is a tautology

d

Both \(\left(S_1\right)\) and \(\left(S_2\right)\) are tautologies

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