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Exercise 1.1 · Q35

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∧r)∨(p∧r)][\sim p \land (\sim q \land r)] \lor [(q \land r) \lor (p \land 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,∼q=F\sim p=F, \sim q=F.

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

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