यदि \(A={x\in\mathbb{R}:x\le1}\) और \(B={x\in\mathbb{R}:x>-2}\), तो \(A\cap B\) क्या है?
If \(A={x\in\mathbb{R}:x\le1}\) and \(B={x\in\mathbb{R}:x>-2}\), what is \(A\cap B\)?
Explanation opens after your attempt
Correct Answer
A. ((-2,1])
Concept
Combining both conditions gives \(-2<x\le1\). Hence the intersection is ((-2,1]).
Why this answer is correct
The correct answer is A. ((-2,1]). Combining both conditions gives \(-2<x\le1\). Hence the intersection is ((-2,1]).
Exam Tip
दोनों शर्तें साथ रखने पर \(-2<x\le1\) मिलता है। इसलिए प्रतिच्छेद ((-2,1]) है।
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