An equivalence relation R in A divides it into equivalence classes š“1,š“2, š“3. What is the value of š“1 ∪ š“2 ∪ š“3 and š“1 ∩ š“2 ∩ š“3

An equivalence relation R in A divides it into equivalence classes A1

Question 3  (Choice 2) - CBSE Class 12 Sample Paper for 2021 Boards - Part 2

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Question 3 (Choice 2) An equivalence relation R in A divides it into equivalence classes š“1, š“2, š“3. What is the value of š“1 ∪ š“2 ∪ š“3 and š“1 ∩ š“2 ∩ š“3 Let R = {(1, 1), (2, 2), (3, 3)} be an equivalence relation A1 is the equivalence class containing one element as 1 ∓ A1 = {1} A2 is the equivalence class containing one element as 2 ∓ A2 = {2} A3 is the equivalence class containing one element as 3 ∓ A3 = {3} Now, š“1 ∪ š“2 ∪ š“3 = {1, 2, 3} And š“1 ∩ š“2 ∩ š“3 = šœ™ Similarly, for any equivalence class š“1, š“2, š“3 š“1 ∪ š“2 ∪ š“3 = A And š“1 ∩ š“2 ∩ š“3 = š“

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