Question

if A=(234) and B=(3456) then find AUB,BUA, AnB, BnA, Bna, A-B, B-A then what u observe​

Answer 1

Correct Question :

If A=(2,3,4) and B=(3,4,5,6) then find A∪B, B∪A, A∩B, B∩A, A - B, B - A.

Solution :

Before looking for the solution, first we will have an idea about this topic.

• A∪B (A union B) = Element which belongs to both A and B.
• B∪A (B union A) = Elements which belongs to both B and A.
• A∩B (A intersection B) = Element which is common in A and B
• B∩A (B intersection A) = Element which is common in B and A
• A - B = Removing B's Elements from A
• B - A = Removing A's Elements from B.

According to the question :

A∪B (A union B) :-

→ {2,3,4} ∪ {3,4,5,6}

→ {2,3,4,5,6}

B∪A (B union A) :-

→ {3,4,5,6} ∪ {2,3,4}

→ {2,3,4,5,6}

A∩B (A intersection B) :-

→ {2,3,4} ∩ {3,4,5,6}

→ {3,4}

B∩A (B intersection A) :-

→ {3,4,5,6} ∩ {2,3,4}

→ {3,4}

A - B :-

→ {2,3,4} - {3,4,5,6}

→ {2,5,6}

B - A :-

→ {3,4,5,6} - {2,3,4}

→ {2,5,6}

Observation :

Here, we could observe that A∪B = B∪A, A∩B = B∩A and A - B = B - A.