Question

Describe the following sets in Set-Builder form $\{0,\pm 1,\pm 2,\pm 3\}$

Answer 1

Solution:-

$\{0,\pm 1,\pm 2,\pm 3\}$

$0=\sqrt{0^2}$

$\pm 1=\sqrt{1^2}$

$\pm 2=\sqrt{2^2}$

$\pm 3=\sqrt{3^2}$

Set-Builder form: $\{x:x^2=n^2;n\in W\text{and}0\le n\le 3\}$