If Q = {x : x = frac{1}{y}, text{ where } y i | vedclass

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

Question

(B) The set $Q$ is defined as $Q = \{1, \frac{1}{2}, \frac{1}{3}, \frac{1}{4}, \dots\}$ where $y \in N = \{1, 2, 3, \dots\}$.For $y = 1$,$x = \frac{1}

Vedclass · Accepted Answer

$1 \in Q$

Vedclass · Answer

(B) The set $Q$ is defined as $Q = \{1, \frac{1}{2}, \frac{1}{3}, \frac{1}{4}, \dots\}$ where $y \in N = \{1, 2, 3, \dots\}$.For $y = 1$,$x = \frac{1}{1} = 1$. Thus,$1 \in Q$.For $y = 2$,$x = \frac{1}{2}$.Since $0$ is not of the form $\frac{1}{y}$ for any $y \in N$,$0 
otin Q$.Since $2$ is not of the form $\frac{1}{y}$ for any $y \in N$,$2 
otin Q$.Since $\frac{2}{3}$ is not of the form $\frac{1}{y}$ for any $y \in N$,$\frac{2}{3} 
otin Q$.Therefore,the correct option is $B$.

If $Q = \{x : x = \frac{1}{y}, \text{ where } y \in N\}$,then which of the following is true?

Similar Questions

Which of the following is a set? Justify your answer.
The collection of all even integers.

Which of the following sets is finite or infinite?
The set of prime numbers less than $99$.

State whether the following set is finite or infinite:
The set of animals living on the earth.

If $A = \{1, 2, 3, 4, 5\}$,then the number of proper subsets of $A$ is

Are the following pair of sets equal? Give reasons.
$A = \{ 2, 3 \}, \quad B = \{ x : x \text{ is a solution of } x^2 + 5x + 6 = 0 \}$

Vedclass Test Series

Exam Paper Generator

Online Exam Module