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

Respuesta :

I would have wished to see Venn Diagram, however I will try to answer this problem:
A={1,2,3,4}

B={1,2,5,6}

(A∩B) ={1,2}

The complement of (A∩B) is (A∩B)'

(A∩B)' = A'∪B' (De Morgan's law)

A' ={5,6} and B'={3,4}

A'∪B' = {5,6} ∪ {3,4}

A'∪B' = (A∩B)' = {3,4,5,6}