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In the set W of whole numbers an equivalence relation R defined as follow : aRb iff both a and b leave same remainder when divided by 5. The equivalence class of 1 is given by
  • a)
    {1, 6, 11, 16, ….}
  • b)
    [0, 5, 10, 15,…}
  • c)
    {2, 7, 12, 17…}
  • d)
    {4, 9, 14, 19, …}.
Correct answer is option 'A'. Can you explain this answer?
Verified Answer
In the set W of whole numbers an equivalence relation R defined as fol...
aRb iff both a and b leave same remainder when divided by 5. 
a= 5x+n
a-1= 5x
b=5y+n
b-1 =5y
Equivalence class = {1,6,11,16,21}
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Most Upvoted Answer
In the set W of whole numbers an equivalence relation R defined as fol...
The equivalence class of 1 in the set W would contain all the numbers that leave the same remainder as 1 when divided by 5.

Since 1 leaves a remainder of 1 when divided by 5, the equivalence class of 1 would include all numbers of the form 1 + 5n, where n is an integer.

Therefore, the equivalence class of 1 in set W would be:

{1, 6, 11, 16, 21, 26, 31, ...}
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In the set W of whole numbers an equivalence relation R defined as follow : aRb iff both a and b leave same remainder when divided by 5. The equivalence class of 1 is given bya){1, 6, 11, 16, ….}b)[0, 5, 10, 15,…}c){2, 7, 12, 17…}d){4, 9, 14, 19, …}.Correct answer is option 'A'. Can you explain this answer?
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In the set W of whole numbers an equivalence relation R defined as follow : aRb iff both a and b leave same remainder when divided by 5. The equivalence class of 1 is given bya){1, 6, 11, 16, ….}b)[0, 5, 10, 15,…}c){2, 7, 12, 17…}d){4, 9, 14, 19, …}.Correct answer is option 'A'. Can you explain this answer? for JEE 2024 is part of JEE preparation. The Question and answers have been prepared according to the JEE exam syllabus. Information about In the set W of whole numbers an equivalence relation R defined as follow : aRb iff both a and b leave same remainder when divided by 5. The equivalence class of 1 is given bya){1, 6, 11, 16, ….}b)[0, 5, 10, 15,…}c){2, 7, 12, 17…}d){4, 9, 14, 19, …}.Correct answer is option 'A'. Can you explain this answer? covers all topics & solutions for JEE 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for In the set W of whole numbers an equivalence relation R defined as follow : aRb iff both a and b leave same remainder when divided by 5. The equivalence class of 1 is given bya){1, 6, 11, 16, ….}b)[0, 5, 10, 15,…}c){2, 7, 12, 17…}d){4, 9, 14, 19, …}.Correct answer is option 'A'. Can you explain this answer?.
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