LEARN MATH STEP BY STEP THROUGH VERY EASY PROCESS

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**

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