यदि \(A=\{1,2,3,4,5\}\) और \(R=\{(a,b):a+b\le 6\}\) है, तो (R) के लिए सही कथन क्या है?

If \(A=\{1,2,3,4,5\}\) and \(R=\{(a,b):a+b\le 6\}\), what is correct for (R)?

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Correct Answer

A. सममित लेकिन स्वतुल्य नहींSymmetric but not reflexive

Step 1

Concept

Because (a+b=b+a), the relation is symmetric. But ((4,4)) is absent since \(8\le 6\) is false.

Step 2

Why this answer is correct

The correct answer is A. सममित लेकिन स्वतुल्य नहीं / Symmetric but not reflexive. Because (a+b=b+a), the relation is symmetric. But ((4,4)) is absent since \(8\le 6\) is false.

Step 3

Exam Tip

क्योंकि (a+b=b+a), संबंध सममित है। पर ((4,4)) नहीं है क्योंकि \(8\le 6\) असत्य है।

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Mathematics Answer, Explanation and Revision Hints

यदि \(A=\{1,2,3,4,5\}\) और \(R=\{(a,b):a+b\le 6\}\) है, तो (R) के लिए सही कथन क्या है? / If \(A=\{1,2,3,4,5\}\) and \(R=\{(a,b):a+b\le 6\}\), what is correct for (R)?

Correct Answer: A. सममित लेकिन स्वतुल्य नहीं / Symmetric but not reflexive. Explanation: क्योंकि (a+b=b+a), संबंध सममित है। पर ((4,4)) नहीं है क्योंकि \(8\le 6\) असत्य है। / Because (a+b=b+a), the relation is symmetric. But ((4,4)) is absent since \(8\le 6\) is false.

Which concept should I revise for this Mathematics MCQ?

Because (a+b=b+a), the relation is symmetric. But ((4,4)) is absent since \(8\le 6\) is false.

What exam hint can help solve this Mathematics question?

क्योंकि (a+b=b+a), संबंध सममित है। पर ((4,4)) नहीं है क्योंकि \(8\le 6\) असत्य है।