Which of the following sets is empty?

Name: Exam Paper Generator | JEE NEET Paper Generator | Vedclass
Brand: Vedclass
Rating: 5 (35 reviews)

Question

(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

Vedclass · Accepted Answer

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

Vedclass · Answer

(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 $(B)$.

Similar Questions

In a town with a population of $5000$,$3200$ people are egg-eaters,$2500$ are meat-eaters,and $1500$ eat both egg and meat. How many are pure vegetarians?

Which of the following statements is false for the sets $A, B$ and $C,$ where
$A = \{x \mid x \text{ is a letter of the word } 'BOWL'\}$
$B = \{x \mid x \text{ is a letter of the word } 'ELBOW'\}$
$C = \{x \mid x \text{ is a letter of the word } 'BELLOW'\}$

In a class of $50$ students,$35$ opted for Mathematics and $37$ opted for Biology. How many have opted for both Mathematics and Biology? How many have opted for only Mathematics? (Assume that each student has to opt for at least one of the subjects).

The largest possible set of real numbers which can be the domain of $f(x) = \sqrt {1 - \frac{1}{x}} $ is

Let $S = \{ x \in R : x \ge 0 \text{ and } 2|\sqrt{x} - 3| + \sqrt{x}(\sqrt{x} - 6) + 6 = 0 \}$. Then $S$:

Vedclass Test Series

Exam Paper Generator

Online Exam Module