Question

If $U=\{1,2,3,4,5,6,7,8,9,10\},A=\{1,2,3,5\},$

$B=\{2,4,6,7\}$ and $C=\{2,3,4,8\}$ . Then

(ii) $(C-A{)}^{\prime }$ = ____

Answer 1

Given: $U=\{1,2,3,4,5,6,7,8,9,10\},A=\{1,2,3,5\},$

$B=\{2,4,6,7\}$ and $C=\{2,3,4,8\}$

$(C-A)=\{2,3,4,8\}-\{1,2,3,5\}$

$\Rightarrow (C-A)=\{4,8\}$

Now,

$(C-A{)}^{\prime }=U-(C-A)$

$=\{1,2,3,4,5,6,7,8,9,10\}-\{4,8\}$

$=\{1,2,3,5,6,7,9,10\}$

Therefore,
$(C-A{)}^{\prime }=\{1,2,3,5,6,7,9,10\}$