If p , q , r are three propositions then the negation of p → ( q ∧ r ) is logically equivalent to

∼ { p → ( q ∧ r )} ≡∼ { ∼ p ∨ ( q ∧ r )} \ ≡ p ∧ ( ∼ q ∨ ∼ r ) ≡ ( p ∧ ∼ q ) ∨ ( p ∧ ∼ r )

Mathematics - Mathematical Reasoning Question with Solution | TestHub

MathematicsMathematical ReasoningMathematical ReasoningMedium2 min

MathematicsMediumsingle choice

If $p, q, r$ are three propositions then the negation of $p \to (q \land r)$ is logically equivalent to

Answer:

Solution:

$\sim {p \to (q \land r)} \equiv\sim {\sim p \lor (q \land r)}$ \ $\equiv p \land (\sim q \lor \sim r) \equiv (p \land \sim q) \lor (p \land \sim r)$

Stream:JEESubject:MathematicsTopic:Mathematical ReasoningSubtopic:Mathematical Reasoning

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