यदि \(A=\{1,2,3,4\}\) और \(R=\{(x,y):x\leq y\}\) हो तो (R) कौन से गुण रखता है?

If \(A=\{1,2,3,4\}\) and \(R=\{(x,y):x\leq y\}\), which properties does (R) have?

Explanation opens after your attempt
Correct Answer

A. प्रतिवर्ती और सकर्मकReflexive and transitive

Step 1

Concept

Every \(x\leq x\), so it is reflexive, and \(x\leq y\leq z\) gives \(x\leq z\). It is generally not symmetric.

Step 2

Why this answer is correct

The correct answer is A. प्रतिवर्ती और सकर्मक / Reflexive and transitive. Every \(x\leq x\), so it is reflexive, and \(x\leq y\leq z\) gives \(x\leq z\). It is generally not symmetric.

Step 3

Exam Tip

हर \(x\leq x\) है इसलिए प्रतिवर्ती है और \(x\leq y\leq z\) से \(x\leq z\) मिलता है। यह सामान्यतः सममित नहीं है।

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Mathematics Answer, Explanation and Revision Hints

यदि \(A=\{1,2,3,4\}\) और \(R=\{(x,y):x\leq y\}\) हो तो (R) कौन से गुण रखता है? / If \(A=\{1,2,3,4\}\) and \(R=\{(x,y):x\leq y\}\), which properties does (R) have?

Correct Answer: A. प्रतिवर्ती और सकर्मक / Reflexive and transitive. Explanation: हर \(x\leq x\) है इसलिए प्रतिवर्ती है और \(x\leq y\leq z\) से \(x\leq z\) मिलता है। यह सामान्यतः सममित नहीं है। / Every \(x\leq x\), so it is reflexive, and \(x\leq y\leq z\) gives \(x\leq z\). It is generally not symmetric.

Which concept should I revise for this Mathematics MCQ?

Every \(x\leq x\), so it is reflexive, and \(x\leq y\leq z\) gives \(x\leq z\). It is generally not symmetric.

What exam hint can help solve this Mathematics question?

हर \(x\leq x\) है इसलिए प्रतिवर्ती है और \(x\leq y\leq z\) से \(x\leq z\) मिलता है। यह सामान्यतः सममित नहीं है।