Solveeit Logo
Login

Question

Question: If \(Q = \left\{ x : x = \frac { 1 } { y } \right.\), where \(\left. y \in N \right\}\) , then...

If Q={x:x=1yQ = \left\{ x : x = \frac { 1 } { y } \right., where y∈N}\left. y \in N \right\} , then

A

0∈Q0 \in Q

B

1∈Q1 \in Q

C

2∈Q2 \in Q

D

23∈Q\frac { 2 } { 3 } \in Q

Answer

1∈Q1 \in Q

Explanation

Solution

Since 1y≠0,1y≠2,1y≠−23,[∵y∈N]\frac { 1 } { y } \neq 0 , \frac { 1 } { y } \neq 2 , \frac { 1 } { y } \neq \frac { - 2 } { 3 } , \quad [ \because y \in N ]

∴ 1y\frac { 1 } { y }can be 1, [∙∙\bullet \bullet y can be 1].