Question

Describe te following sets in Set-Builder form
$\begin{array}{c}i)\left\{0\right\}\\ ii)\left\{0,\pm 1,\pm 2,\pm 3\right\}\\ iii)\left\{\frac{1}{2},\frac{2}{5},\frac{3}{10},\frac{4}{17},\frac{5}{26},\frac{6}{37},\frac{7}{50}\right\}\end{array}$

Answer 1

$\begin{array}{c}i)\left\{x=0n;whenn\in R\right\}\\ ii)\left\{x=\pm n;when\in Nandn\le 3\right\}\\ iii)\left\{x=\frac{n}{n^2+1};whenn\in Nand1\le n\le 7\right\}\end{array}$