यदि \(A={x:x\in\mathbb{Z},-5\le x<3}\) और \(B={x:x\in\mathbb{Z},-2<x\le 6}\) है, तो \(A\cup B\) क्या है?
If \(A={x:x\in\mathbb{Z},-5\le x<3}\) and \(B={x:x\in\mathbb{Z},-2<x\le 6}\), then what is \(A\cup B\)?
Explanation opens after your attempt
Correct Answer
A. ({-5,-4,-3,-2,-1,0,1,2,3,4,5,6})
Concept
The two integer intervals are connected with no gap. Therefore the union is all integers from (-5) to (6).
Why this answer is correct
The correct answer is A. ({-5,-4,-3,-2,-1,0,1,2,3,4,5,6}). The two integer intervals are connected with no gap. Therefore the union is all integers from (-5) to (6).
Exam Tip
दोनों पूर्णांक अंतराल जुड़े हुए हैं और बीच में कोई खाली स्थान नहीं है। इसलिए संघ (-5) से (6) तक के सभी पूर्णांक हैं।
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