\(यदि (A={x:x\in\mathbb{Z},-5<x<4}) और (B={x:x\in\mathbb{Z},x\) सम है\(}) हैं, तथा केवल (B) के वे अवयव लिए जाएं जो (-5<x<4) को संतुष्ट करते हैं, तो (A\setminus B) क्या है\)?
\(If (A={x:x\in\mathbb{Z},-5<x<4}) and (B={x:x\in\mathbb{Z},x\) is even\(}), and only elements of (B) satisfying (-5<x<4) are considered, what is (A\setminus B)\)?
Explanation opens after your attempt
A. ( {-3,-1,1,3} )
Concept
\(A=\{-4,-3,-2,-1,0,1,2,3\}\), and the even elements are removed. Therefore the odd elements ({-3,-1,1,3}) remain.
Why this answer is correct
The correct answer is A. ( {-3,-1,1,3} ). \(A=\{-4,-3,-2,-1,0,1,2,3\}\), and the even elements are removed. Therefore the odd elements ({-3,-1,1,3}) remain.
Exam Tip
\(A=\{-4,-3,-2,-1,0,1,2,3\}\) है और सम अवयव हट जाते हैं। इसलिए विषम अवयव ({-3,-1,1,3}) बचते हैं।
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