List all the elements of each of the sets given below

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 $C=\left\{1, \frac{1}{2}, \frac{1}{3}, \frac{1}{4}, \frac{1}{5}, \frac{1}{6}\right\}$

 

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