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  • Let p and q be any two logical statements and <img alt="r:p\rightarrow \left ( \sim p\; \vee\; q \right )" src="http://entrancecorner.oncodecogs.com/gif.latex?r%3Ap%5Crightarrow%20%5Cleft%20%2

Let p and q be any two logical statements and r:p\rightarrow \left ( \sim p\; \vee\; q \right )  If r has a truth value F ,then the truth values of p and q are respectively:

Option: 1

F,\; F          


Option: 2

T,\; T


Option: 3

T,\; F


Option: 4

F,\; T


Answers (1)

best_answer

\\p \rightarrow(\sim p \vee q) \text { has truth value } \mathrm{F}\\\text { It means } p \rightarrow(\sim p \vee q) \text { is false. }\\\text { It means } p \text { is true and } \sim p \vee q \text { is false. }\\

\\\Rightarrow p \text { is true and both} \sim p \text {and } q \text{ are false}. \\\Rightarrow p \text{ is true and }q \text{ is false}.

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Kuldeep Maurya

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