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If (R) is an equivalence relation and ([a]\setminus[b]\neq\varnothing), which conclusion is correct?यदि (R) तुल्यता संबंध है और ([a]\setminus[b]\neq\varnothing), तो कौन सा निष्कर्ष सही है?
Answer and explanationउत्तर और व्याख्या
Correct answer:सही उत्तर: ([a]\cap[b]=\varnothing)([a]\cap[b]=\varnothing)
Step 1: Equivalence classes are either equal or disjoint. Step 2: If ([a]\setminus[b]\neq\varnothing), the classes are not equal. Step 3: Therefore their intersection is empty.चरण 1: तुल्यता वर्ग या तो समान होते हैं या अलग-अलग। चरण 2: यदि ([a]\setminus[b]\neq\varnothing), तो वे समान नहीं हो सकते। चरण 3: समान नहीं हैं, इसलिए दोनों वर्गों का प्रतिच्छेद रिक्त होगा।
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