Aspire Faculty ID #18599 · Topic: UGC NET Computer Science Dec 2022 Shift II (Paper II) · Just now
UGC NET Computer Science Dec 2022 Shift II (Paper II)

The negation of "Some students like hockey" is:

Solution

"Some students like hockey" means
$ \exists x , [S(x) \land L(x)] $

Its negation is
$ \neg \exists x , [S(x) \land L(x)] $

Using logical rule,
$ \neg \exists x , P(x) \equiv \forall x , \neg P(x) $

So,
$ \forall x , [S(x) \rightarrow \neg L(x)] $

Hence, every student dislikes hockey.

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