Which of the following sets is empty?

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(B) An empty set is a set that contains no elements.For option $(A)$,$A = \{x : x \in N 	ext{ and } x \leq 1\}$. Since $1 \in N$,$A = \{1\}$,which is

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$B = \{x : 3x + 1 = 0, x \in N\}$

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(B) An empty set is a set that contains no elements.For option $(A)$,$A = \{x : x \in N 	ext{ and } x \leq 1\}$. Since $1 \in N$,$A = \{1\}$,which is not empty.For option $(B)$,$B = \{x : 3x + 1 = 0, x \in N\}$. Solving $3x + 1 = 0$ gives $x = -1/3$. Since $-1/3$ is not a natural number $(N)$,there is no such $x$ in $N$. Thus,$B = \emptyset$ (empty set).For option $(C)$,$C = \{x : x 	ext{ is an integer and } -1 For option $(D)$,$D = 	ext{set of months of the year beginning with } F$. February begins with $F$,so $D = \{	ext{February}\}$,which is not empty.Therefore,the correct option is $(B)$.

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