Question:
Using Venn diagrams, show that $(A-B), A \cap B)$ and $(B-A)$ are disjoint sets, taking $A=\{2,4,6,8,10,12\}$ and $B=\{3,6,9,12,15,$,$} .$
Solution:
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.