Question:
List all the elements of each of the sets given below
$\mathrm{C}=\left\{\mathrm{x}: \mathrm{x}=\frac{1}{\mathrm{n}}, \mathrm{n} \in \mathrm{N}\right.$ and $\left.\mathrm{n} \leq 6\right\}$
Solution:
Here, $x=\frac{1}{n}$ and $\mathrm{n} \leq 6$
So, $n=1,2,3,4,5$ and $6[\because n \in N]$
Given: $x=\frac{1}{n}$
$n=1, x=\frac{1}{1}=1$
$n=2, x=\frac{1}{2}$
$n=3, x=\frac{1}{3}$
$n=4, x=\frac{1}{4}$
$n=5, x=\frac{1}{5}$
$n=6, x=\frac{1}{6}$
So $C=\left\{1, \frac{1}{2}, \frac{1}{3}, \frac{1}{4}, \frac{1}{5}, \frac{1}{6}\right\}$