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Exercise 1.2 · Q60

Q.Using truth tables, prove the following logical equivalence: [∼(p∨q)∨(p∨q)]∧r≡r[\sim (p \lor q) \lor (p \lor q)] \land r \equiv r

Maharashtra MsbshseTextbookSubjectiveImportance★★★★★
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pqrp∨qp\lor q∼(p∨q)\sim(p\lor q)∼(p∨q)∨(p∨q)\sim(p\lor q)\lor(p\lor q)LHS: […]∧r[\ldots]\land rRHS: rr
TTTTFTTT
TTFTFTFF
TFTTFTTT
TFFTFTFF
FTTTFTTT
FTFTFTFF
FFTFTTTT
FFFFTTFF

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