The proposition p^(~p $\cup$ q) is _____________.

a tautology

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logically equivalent to P

\land

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logically equivalent Pvq

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a contradiction

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Solution

The correct option is B logically equivalent to P $\land$ q
The proposition p^ (~p∪q) is logically equivalent to P∧ q.

Logical equivalenceis a type of relationship between two statements or sentences in propositional logic or Boolean algebra.

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