Question

A Venn diagram is shown below: a Venn diagram showing two categories, A and B. In the A only circle is 1 and 2, in the B circle is 5 and 6, in the intersection is 3 and 4, and in outside the circles is U What are the elements of (A ∩ B) ' ? {3, 4} {1, 2, 3, 4} {1, 2, 5, 6} {3, 4, 5, 6}

Answer 1

The correct answer is {1, 2, 5, 6}.

A intersect B would be {3, 4}; the complement of this is everything else.

Answer 2

Let
ξ -----------> is a universal set.
A----------> is a  subsets of ξ
B----------> is a  subsets of ξ

we know that
ξ = {1, 2, 3, 4, 5, 6}
A = {1, 2, 3, 4} 
B = {3, 4, 5, 6} 

(A ∩ B)' = {elements of ξ which are not in A ∩ B}

and

A ∩ B = {elements which are common to both A and B}
A ∩ B= {3,4} 

therefore
the elements of (A ∩ B) ' ={1,2.5,6}

the answer is the option
{1, 2, 5, 6}