What is the value of (A - B) ∩ (B - A)?

  1. ϕ 
  2. A ∩ B
  3. A ∪ B
  4. Cannot be determined

Answer (Detailed Solution Below)

Option 1 : ϕ 
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Detailed Solution

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Concept:

The difference between the two Sets:

Let A and B be two sets. The difference between A and B is denoted as (A - B)

It is the set of all those elements of A which are not present in B i.e {x: x ∈ A and x ∉ B}

The Venn diagram representation of the difference between two sets is shown below
F2 A.K 23.5.20 Pallavi D4

Calculation:

A - B = It is the set having all the elements of set A except the elements present in set B.

B - A = It is the set having all the elements of set B except the elements present in set A.

∴ (A - B) ∩ (B - A) is a null set.(ϕ)

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