यदि \(A={x:x\in\mathbb{R},\ x\le0}\), \(B={x:x\in\mathbb{R},\ x>2}\), तो \(A\cap B\) क्या है?
If \(A={x:x\in\mathbb{R},\ x\le0}\), \(B={x:x\in\mathbb{R},\ x>2}\), what is \(A\cap B\)?
Explanation opens after your attempt
Correct Answer
A. \(\varnothing\)
Concept
No real number can satisfy \(x\le0\) and (x>2) together, so the intersection is empty. Recognize incompatible conditions quickly.
Why this answer is correct
The correct answer is A. \(\varnothing\). No real number can satisfy \(x\le0\) and (x>2) together, so the intersection is empty. Recognize incompatible conditions quickly.
Exam Tip
कोई वास्तविक संख्या एक साथ \(x\le0\) और (x>2) नहीं हो सकती, इसलिए प्रतिच्छेद रिक्त है। असंगत शर्तों को जल्दी पहचानें।
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