यदि \(A={x\in\mathbb{R}: -3\le x<5}\), \(B={x\in\mathbb{R}: 1<x\le 8}\) और \(C={x\in\mathbb{R}: x\le 2}\) हैं, तो (\(A\cup B\)\cap C) क्या है?
If \(A={x\in\mathbb{R}: -3\le x<5}\), \(B={x\in\mathbb{R}: 1<x\le 8}\), and \(C={x\in\mathbb{R}: x\le 2}\), what is (\(A\cup B\)\cap C)?
Explanation opens after your attempt
Correct Answer
A. ([-3,2])
Concept
\(A\cup B=[-3,8]\). Intersecting it with \(x\le 2\) gives ([-3,2]).
Why this answer is correct
The correct answer is A. ([-3,2]). \(A\cup B=[-3,8]\). Intersecting it with \(x\le 2\) gives ([-3,2]).
Exam Tip
\(A\cup B=[-3,8]\) है। अब \(x\le 2\) से प्रतिच्छेद लेने पर ([-3,2]) मिलता है।
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