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GO Classes DPP | GATE CS | Discrete Mathematics| Propositional Logic

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Which of the following is the correct negation of the statement "For all positive integers n, $\mathrm{n}+2>8^{\prime \prime}$ ?

  1. For all positive integers $n, n+2 \leqslant 8$.
  2. There exists a positive integer n such that $\mathrm{n}+2>8$.
  3. There exists a positive integer n such that $\mathrm{n}+2 \leqslant 8$.
  4. For no positive integer n do we have $\mathrm{n}+2>8$.

2 Answers

–1 –1 vote

Negation of For all   is There exist   and <=  is  >  respectively

Negative  statement:There exists a positive integer $n$ such that n + 2 > 8.

Option  Both B ,C are same so option C is  correct

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