Question:medium

The negation of the statement $(p\wedge q)\rightarrow(\sim p\vee r)$ is

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Logic Tip: The phrase "A implies B" means "If A happens, B must happen." The ONLY way to prove this false (negate it) is if A happens AND B does not happen. Therefore, $\sim(A \rightarrow B) = A \text{ AND } (\text{NOT } B)$.
Updated On: Apr 28, 2026
  • $p\vee q\vee\sim r$
  • $p\wedge q\wedge\sim r$
  • $\sim p\vee q\wedge r$
  • $\sim p\vee\sim q\vee\sim r$
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The Correct Option is B

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