Question

Find all the subsets of each of the following sets :

(i) A = $\{5,7\}$

(ii)B= $\{a,b,c\}$

(iii)C= $\{x:x\in W,x\le 2\}$

(iv){ p:p is a letter in the word 'poor' }

Answer 1

(i) A = $\{5,7\}$ Subsets of set A = $\left\{\right\}$, $\{5,7\}$,$\left\{7\right\}$,$\{5,7\}$

(ii) B = $\{a,b,c\}$ Subsets of set B = $\left\{\right\}$,$\left\{a\right\}$,$\left\{b\right\}$,$\left\{c\right\}$,$\{a,b\}$,$\{a,c\}$,$\{b,c\}$,$\{a,b,c\}$Ans.

(iii) C= $\{x:x\in W,x\le 2\}$ = $\{0,1,2\}$ $\therefore$ Subsets of set C = $\left\{0\right\}$,$\left\{1\right\}$,$\left\{2\right\}$,$\{0,1\}$,$\{0,2\}$,$\{1,2\}$,$\{0,1,2\}$Ans.

(iv)$\left\{\text{p:p is a letter in the word 'POOR'}\right\}$=$\left\{\text{p:p is a letter in the word 'p,o,r'}\right\}$

$\therefore$ Subsets of the given set = $\varphi$,$\left\{p\right\}$,$\left\{o\right\}$,$\left\{r\right\}$,$\{p,o\}$,$\{p,r\}$,$\{o,r\}$,$\{p,o,r\}$