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GATE | GATE-CS-2009 | Question 60

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  • Difficulty Level : Easy
  • Last Updated : 11 Oct, 2021

CSE_2009_26

Which of the above two are equivalent?
(A) I and III
(B) I and IV
(C) II and III
(D) II and IV


Answer: (B)

Explanation:

According to negation property of universal qualifier and existential quantifier

 \neg \forall x \epsilon X P(x) \equiv \exists x \epsilon X \neg P(x)



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