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Exercise 1.1 · Q36

Q.If the statements p, q are true statements and r, s are false statements, determine the truth value of the following: [(∼p∧q)∧∼r]∨[(q→p)→(∼s∨r)][(\sim p \land q) \land \sim r] \lor [(q \rightarrow p) \rightarrow (\sim s \lor r)]

Maharashtra MsbshseTextbookSubjectiveImportance★★★★★
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Given p=T,q=T,r=F,s=Fp=T, q=T, r=F, s=F, so ∼p=F,∼s=T\sim p=F, \sim s=T.

First bracket: ∼p∧q=F∧T=F\sim p \land q = F \land T = F; then (∼p∧q)∧∼r=F∧T=F(\sim p \land q) \land \sim r = F \land T = F (since ∼r=T\sim r=T). …

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