\(\mathbb{Z}\) पर (aRb) तभी जब \(a\equiv b \pmod{5}\)। (7) का equivalence class कौन सा है?
On \(\mathbb{Z}\), (aRb) if and only if \(a\equiv b \pmod{5}\). Which is the equivalence class of (7)?
Explanation opens after your attempt
Correct Answer
A. \({x\in\mathbb{Z}:x\equiv 2 \pmod{5}}\)
Concept
Because \(7\equiv 2 \pmod{5}\), all integers with the same remainder are in its class. Always form an equivalence class from the relation condition.
Why this answer is correct
The correct answer is A. \({x\in\mathbb{Z}:x\equiv 2 \pmod{5}}\). Because \(7\equiv 2 \pmod{5}\), all integers with the same remainder are in its class. Always form an equivalence class from the relation condition.
Exam Tip
क्योंकि \(7\equiv 2 \pmod{5}\), इसलिए उसी शेषफल वाले सभी पूर्णांक class में होंगे। Equivalence class हमेशा relation की condition से बनाइए।
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