\(\mathbb{Z}\) पर (aRb) यदि (a-b) सम संख्या है। (5) किस तुल्यता वर्ग में होगा?
On \(\mathbb{Z}\), (aRb) if (a-b) is even. Which equivalence class contains (5)?
Explanation opens after your attempt
Correct Answer
B. सभी विषम पूर्णांकAll odd integers
Concept
(5) is odd, and all integers differing from it by an even number are odd. An equivalence class contains all elements with the same property.
Why this answer is correct
The correct answer is B. सभी विषम पूर्णांक / All odd integers. (5) is odd, and all integers differing from it by an even number are odd. An equivalence class contains all elements with the same property.
Exam Tip
(5) विषम है और उससे सम अंतर वाले सभी पूर्णांक विषम होंगे। तुल्यता वर्ग में समान गुण वाले सभी तत्व आते हैं।
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