1)

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


A) $\exists n\in N, $such that $n+7 \leq6$

B) $\exists n\in N,$ such that $n+7 \geq6$

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

D) $\exists n\in N, $such that $n+7 < 6$

Answer:

Option A

Explanation:

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 $n+7 \leq 6$