Question

Say true or false.

$K=\{\frac{1}{2},\frac{2}{5},\frac{3}{10},\frac{4}{17},\frac{5}{26}\}$
The above set can be written in set builder form as,
$K=\{c|c=\frac{n}{n^2+1},n\in N,n\le 5\}$

• A. True
• B. False

Answer 1

The correct option is A True

Given, $K=\{c|c=\frac{n}{n^2+1},n\in N,n\le 5\}$

$\frac{1}{2}=\frac{1}{1^2+1}$

$\frac{2}{5}=\frac{2}{2^2+1}$
$\frac{3}{10}=\frac{3}{3^2+1}$
$\frac{4}{17}=\frac{4}{4^2+1}$
$\frac{5}{26}=\frac{5}{5^2+1}$

Thus given statement is $K=\{c|c=\frac{n}{n^2+1},n\in N,n\le 5\}$ true.