যদি A এবং B যে কোন দুইটি সেট হয়, তবে A∩(A∪B) = A∪(A∩B) = কত?
Solution
Correct Answer: Option C
ধরি, A = {1, 2, 3} এবং B = {2, 3, 4}
A∩(AUB)
= {1, 2, 3}∩{1, 2, 3}U{2, 3, 4}
= {1, 2, 3}∩{1, 2, 3, 4)
= {1, 2, 3}
= A
আবার, AU(A∩B)
= {1, 2, 3}U{1, 2, 3}∩{2, 3, 4}
= {1, 2, 3} U {2, 3}
= {1, 2, 3} =A
∴ An(AUB)=AU(A∩B) = A