Question

If $U=\{a,b,c,d,e,f,g,h\}$, find the complements of the following sets:

(i) $A=\{a,b,c\}$

(ii) $B=\{d,e,f,g\}$

(iii) $C=\{a,c,e,g\}$

(iv) $D=\{f,g,h,a\}$

Answer 1

We know that complement of set $A$ is

$A^{\prime }=U-A$

Given $U=\{a,b,c,d,e,f,g,h\}$
(i) $A=\{a,b,c\}$
$A^{\prime }=\{d,e,f,g,h\}$
(ii) $B=\{d,e,f,g\}$
$\therefore B^{\prime }=\{a,b,c,h\}$
(iii) $C=\{a,c,e,g\}$
$\therefore C^{\prime }=\{b,d,f,h\}$
(iv) $D=\{f,g,h,a\}$
$\therefore D^{\prime }=\{b,c,d,e\}$