Important Identities regarding SETS

[Vincent Simon]

Hi, I'm Vincent! 

Just sharing some identities I found useful for Sets.

1. If set A and B are equal then, A-B = A-A =  ϕ (empty set)
2. When an empty set is subtracted from a set (suppose set A) then, the result is that set itself, i.e. A - ϕ = A.
3. When a set is subtracted from an empty set then, the result is an empty set, i.e.  ϕ - A =  ϕ.
4. When a superset is subtracted from a subset, then result is an empty set, i.e.  A - B =  ϕ if A ⊂ B.
5. If A and B are disjoint sets then, A-B = A and B-A = B.
   

[Vincent Simon]

For 4 Diagram is below, by name " difference-superset-subset.jpg  ".

And for 5 Diagram is "difference-disjoint-sets_0.jpg ".

Hope its Helpful!

All the best to everyone for the Exam!!