Question
Write the following sets using listing method and classify into finite or infinite set :

B = {x | x ∈ N and 3x -1 = 0}

Answer

$
\begin{aligned}
& \mathrm{B}=\{x \mid x \in \mathrm{N} \text { and } 3 x-1=0\} \\
& 3 x-1=0 \quad \therefore 3 x=1 \quad x=\frac{1}{3} \\
& \text { But } \frac{1}{3} \notin \mathrm{N} \quad \therefore \mathrm{B}=\{\quad \therefore \mathrm{B} \text { is finite set. }\\
\end{aligned}
$

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