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Negation of the proposition $\exists \: x \: H(x)$ is

  1. $\exists \: x \: \neg \: H(x)$
  2. $\forall \: x \: \neg \: H(x)$
  3. $\forall \: x \: H(x)$
  4. $\neg \: x \: H(x)$
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its option 2...
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Kindly explain...

Thanks
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2 Answers

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x H(x)   equels to for all. It means For all x ,H(x) is true.

So, answer is 4
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Annwer is option 2)

Simple statement question:

Negation of the proposition ⱻ x H(x)= Ɐ x ¬H(x)           // ~ⱻ x =Ɐ x

Answer:

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