Question

From the given venn diagram, is $A\cap B^{\prime }$ and $A-B$ are equal. ( Enter 1 if true or 0 otherwise)

Answer 1

$B^{\prime }$ will have the elements which are outside the circle drawn for $B$
$\Rightarrow B^{\prime }=$ { $a,b,c,i,k,l,m,n,p$ }
$(A\cap B^{\prime })$ will have the elements which are common among the elements written inside the circle of A and in $B^{\prime }=$ { $a,b,c,i,k,l,m,n,p$ }.
$\Rightarrow (A\cap B^{\prime })=$ { $a,b,c,i$ } .....(1)
And $A-B$ will have the elements inside the circle drawn for $A$ but not inside the circle drawn for $B$.
So, $A-B=$ { $a,b,c,i$ } .....(2)
From (1) and (2), we have
$A\cap B^{\prime }=A-B$