UGC NET CSE | November 2017 | Part 2 | Question: 9

Question

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

• A. $\exists \: x \: \neg \: H(x)$
• B. $\forall \: x \: \neg \: H(x)$
• C. $\forall \: x \: H(x)$
• D. $\neg \: x \: H(x)$

Comments

its option 2...

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Kindly explain...

Thanks

Answer 1

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

So, answer is 4

Answer 2

Annwer is option 2)

Simple statement question:

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