An equivalence relation R in A divides it into equivalence classes ๐ด1,๐ด2, ๐ด3. What is the value of ๐ด1 ∪ ๐ด2 ∪ ๐ด3 and ๐ด1 ∩ ๐ด2 ∩ ๐ด3

Last updated at Oct. 27, 2020 by Teachoo
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Question 3 (Choice 2) An equivalence relation R in A divides it into equivalence classes ๐ด1, ๐ด2, ๐ด3. What is the value of ๐ด1 โช ๐ด2 โช ๐ด3 and ๐ด1 โฉ ๐ด2 โฉ ๐ด3 Let R = {(1, 1), (2, 2), (3, 3)} be an equivalence relation A1 is the equivalence class containing one element as 1 โด A1 = {1} A2 is the equivalence class containing one element as 2 โด A2 = {2} A3 is the equivalence class containing one element as 3 โด A3 = {3} Now, ๐ด1 โช ๐ด2 โช ๐ด3 = {1, 2, 3} And ๐ด1 โฉ ๐ด2 โฉ ๐ด3 = ๐ Similarly, for any equivalence class ๐ด1, ๐ด2, ๐ด3 ๐ด1 โช ๐ด2 โช ๐ด3 = A And ๐ด1 โฉ ๐ด2 โฉ ๐ด3 = ๐
CBSE Class 12 Sample Paper for 2021 Boards
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