যদি A এবং B দুইটি সেট হয়, তবে A ∩ (A ∪ B) এবং A ∪ (A ∩ B) = কত ?
Solution
Correct Answer: Option C
ধরি,
A = {1, 3}
B = {1, 7}
A ∪ B = {1, 3} ∪ {1, 7}
= {1, 3, 7}
(A ∩ B) = {1, 3} ∩ {1, 7}
= {1}
A ∩ (A ∪ B) = {1, 3} ∩ {1, 3, 7}
= {1, 3}
= A
A ∪ (A ∩ B) = {1, 3} ∪ {1}
= {1, 3}
= A
A ∩ (A ∪ B) = A ∪ (A ∩ B) = A
A = {1, 3}
B = {1, 7}
A ∪ B = {1, 3} ∪ {1, 7}
= {1, 3, 7}
(A ∩ B) = {1, 3} ∩ {1, 7}
= {1}
A ∩ (A ∪ B) = {1, 3} ∩ {1, 3, 7}
= {1, 3}
= A
A ∪ (A ∩ B) = {1, 3} ∪ {1}
= {1, 3}
= A
A ∩ (A ∪ B) = A ∪ (A ∩ B) = A
Practice More Questions on Our App!
Download our app for free and access thousands of MCQ questions with detailed solutions