Question:

For any two statements p and q, the negation of the expression p(∼pq) is:

Updated On: Jul 9, 2024
  • pq

  • pq

  • pq

  • pq
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The Correct Option is D

Solution and Explanation

Explanation:
The given expression is p(pq).
Thus, the negation of this expression can be written as:(p(pq))
=∼p(pq)[∵∼(ab)≡∼ab]
=∼p(pq)[∵∼(ab)≡∼ab]
=(pp)(pq)[c(ab)(ca)(cb)]
=F(pq)[∵∼aaF]
=(pq)[Faa]
Hence, the correct option is (D).
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