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  • Which of the following statements is a tautology ?Option: 1 <img alt="\mathrm{((\sim p) \vee q) \Rightarrow p} \\" src="/latex-image/?%5Cmathrm%7B%28

Which of the following statements is a tautology ?

Option: 1

\mathrm{((\sim p) \vee q) \Rightarrow p} \\


Option: 2

\mathrm{p \Rightarrow((\sim p) \vee q)} \\


Option: 3

\mathrm{((\sim p) \vee q) \Rightarrow q }\\


Option: 4

\mathrm{q \Rightarrow((\sim p) \vee q)}


Answers (1)

best_answer
\mathrm{p} \mathrm{q} \mathrm{\sim p} \mathrm{\sim q} \mathrm{\sim p\vee q}
T T F F T
T F F T F
F T T F T
F F T T T

Options

1 2 3 4
T T T T
T F T T
F T T T
F T F T

Hence correct option is 4

 

Posted by

sudhir.kumar

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