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

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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?

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