CLASS-11
OPERATION ON SET - PROPERTIES OF DIFFERENCE OF SET

Properties Of Difference Of Sets

(1) If A ⊂ B, then A – B = ϕ and B – A ≠ ϕ

(2) If A = ϕ, then A – B = ϕ, and B – A = B

(3) If, A ∩ B  = ϕ, then A – B = A and B – A = B

(4) If, A = B, then A – B and B – A are both null set

(5) Set A – B is a subset of A, i.e., A – B ⊆ A

(6) The sets A – B, A ∩ B and B – A are mutually disjoint

(7) A – B = (A ∪ B) – B = A – A ∩ B 

(8) A – B ≠ B – A

Your second block of text...