If A = {2, 3, 4, 5, 6},then which of the foll | vedclass

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(B) Let us evaluate each statement for the set $A = \{2, 3, 4, 5, 6\}$.$A$: $\exists x \in A$ such that $(x-2) \in \mathbb{N}$. If $x=3$,$3-2=1 \in \m

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$\forall x \in A, x+6$ is divisible by $2$

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(B) Let us evaluate each statement for the set $A = \{2, 3, 4, 5, 6\}$.$A$: $\exists x \in A$ such that $(x-2) \in \mathbb{N}$. If $x=3$,$3-2=1 \in \mathbb{N}$. This is true.$B$: $\forall x \in A, x+6$ is divisible by $2$. If $x=3$,$3+6=9$,which is not divisible by $2$. This is false.$C$: $\exists x \in A$ such that $x+2$ is a prime number. If $x=3$,$3+2=5$,which is prime. This is true.$D$: $\exists x \in A$ such that $x^{2}+1$ is an even number. If $x=3$,$3^{2}+1=10$,which is even. This is true.Therefore,the statement in option $B$ is false.

If $A = \{2, 3, 4, 5, 6\}$,then which of the following statements has a truth value of 'false'?

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