यदि \(U=\mathbb{R}\), (A=[-3,2)) और (B=(2,6]), तो (\(A\cup B\)') क्या है?

If \(U=\mathbb{R}\), (A=[-3,2)) and (B=(2,6]), what is (\(A\cup B\)')?

Explanation opens after your attempt
Correct Answer

A. (\(-\infty,-3\)\cup[2,2]\cup\(6,\infty\))

Step 1

Concept

\(A\cup B=[-3,2\)\cup(2,6]), so (2) is not included. The complement contains (\(-\infty,-3\)), ({2}), and (\(6,\infty\)).

Step 2

Why this answer is correct

The correct answer is A. (\(-\infty,-3\)\cup[2,2]\cup\(6,\infty\)). \(A\cup B=[-3,2\)\cup(2,6]), so (2) is not included. The complement contains (\(-\infty,-3\)), ({2}), and (\(6,\infty\)).

Step 3

Exam Tip

\(A\cup B=[-3,2\)\cup(2,6]) है, इसलिए (2) शामिल नहीं है। पूरक में (\(-\infty,-3\)), ({2}) और (\(6,\infty\)) आएंगे।

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Mathematics Answer, Explanation and Revision Hints

यदि \(U=\mathbb{R}\), (A=[-3,2)) और (B=(2,6]), तो (\(A\cup B\)') क्या है? / If \(U=\mathbb{R}\), (A=[-3,2)) and (B=(2,6]), what is (\(A\cup B\)')?

Correct Answer: A. (\(-\infty,-3\)\cup[2,2]\cup\(6,\infty\)). Explanation: \(A\cup B=[-3,2\)\cup(2,6]) है, इसलिए (2) शामिल नहीं है। पूरक में (\(-\infty,-3\)), ({2}) और (\(6,\infty\)) आएंगे। / \(A\cup B=[-3,2\)\cup(2,6]), so (2) is not included. The complement contains (\(-\infty,-3\)), ({2}), and (\(6,\infty\)).

Which concept should I revise for this Mathematics MCQ?

\(A\cup B=[-3,2\)\cup(2,6]), so (2) is not included. The complement contains (\(-\infty,-3\)), ({2}), and (\(6,\infty\)).

What exam hint can help solve this Mathematics question?

\(A\cup B=[-3,2\)\cup(2,6]) है, इसलिए (2) शामिल नहीं है। पूरक में (\(-\infty,-3\)), ({2}) और (\(6,\infty\)) आएंगे।