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The negation of '" $\forall,n\in N, n+7>6$ " is ................

$\exists n\in N,$ such that

$n+7 \leq6$

$\exists n\in N,$ such that

$n+7 \geq6$

$\forall n\in N, n+7 \leq 6$

$\exists n\in N,$ such that

$n+7 < 6$

Option A

Key Idea The negation of the quantifier forevery is there exists.

Given statements ' $\forall,"n\in N$ ", such that n+7>6"

$\therefore$ The negation of the given statement is

$\exists n\in N,$ such that $n+7 \leq 6$

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