Using Venn diagrams, show that (A – B), A ∩ B) and (B – A) are disjoint sets, taking A = {2, 4, 6, 8, 10, 12} and B = {3, 6, 9, 12, 15, }.

Question

Philoid · Accepted Answer

A - B is denoted by the yellow region only

B - A is denoted by the blue region only

AB is denoted by the common region (blue +yellow)

There is no intersection between these three regions

Hence the three sets are disjoint sets.