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If (R) is an equivalence relation and (a\in[b]), (b\in[c]), which conclusion is correct?यदि (R) तुल्यता संबंध है और (a\in[b]), (b\in[c]), तो कौन सा निष्कर्ष सही है?
Answer and explanationउत्तर और व्याख्या
Correct answer:सही उत्तर: ([a]=[b]=[c])([a]=[b]=[c])
Step 1: (a\in[b]) means (a) is related to (b), so ([a]=[b]). Step 2: (b\in[c]) gives ([b]=[c]). Step 3: Therefore all three equivalence classes are equal.चरण 1: (a\in[b]) से (a) और (b) संबंधित हैं, इसलिए ([a]=[b])। चरण 2: (b\in[c]) से ([b]=[c])। चरण 3: इसलिए तीनों तुल्यता वर्ग समान होंगे।
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