यदि \(A={x:x\in \mathbb{Z},x^2\le 4}\) और \(B=\{-1,0,1,3\}\) हैं, तो \(A\cap B\) क्या है?
If \(A={x:x\in \mathbb{Z},x^2\le 4}\) and \(B=\{-1,0,1,3\}\), what is \(A\cap B\)?
Explanation opens after your attempt
B. ( {-1,0,1} )
Concept
\(A=\{-2,-1,0,1,2\}\), so the common elements from (B) are (-1,0,1). In square conditions, also check negative integers.
Why this answer is correct
The correct answer is B. ( {-1,0,1} ). \(A=\{-2,-1,0,1,2\}\), so the common elements from (B) are (-1,0,1). In square conditions, also check negative integers.
Exam Tip
\(A=\{-2,-1,0,1,2\}\), इसलिए (B) से समान अवयव (-1,0,1) हैं। वर्ग वाली शर्त में ऋणात्मक पूर्णांक भी जांचें।
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