Class 11 Mathematics Sets Complement of a Set and its properties Expert Level 20

यदि \(U=\mathbb{R}\), (A=\(-3,\infty\)) और (B=\(-\infty,5]\), तो (\(A\cap B\)') क्या है?

If \(U=\mathbb{R}\), (A=\(-3,\infty\)), and (B=\(-\infty,5]\), what is (\(A\cap B\)')?

Explanation opens after your attempt
Correct Answer

A. ((-\infty,-3]\cup\(5,\infty\))

Step 1

Concept

(A\cap B=(-3,5]). Its complement is ((-\infty,-3]\cup\(5,\infty\)).

Step 2

Why this answer is correct

The correct answer is A. ((-\infty,-3]\cup\(5,\infty\)). (A\cap B=(-3,5]). Its complement is ((-\infty,-3]\cup\(5,\infty\)).

Step 3

Exam Tip

(A\cap B=(-3,5]) है। इसका पूरक ((-\infty,-3]\cup\(5,\infty\)) होगा।

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Mathematics Answer, Explanation and Revision Hints

यदि \(U=\mathbb{R}\), (A=\(-3,\infty\)) और (B=\(-\infty,5]\), तो (\(A\cap B\)') क्या है? / If \(U=\mathbb{R}\), (A=\(-3,\infty\)), and (B=\(-\infty,5]\), what is (\(A\cap B\)')?

Correct Answer: A. ((-\infty,-3]\cup\(5,\infty\)). Explanation: (A\cap B=(-3,5]) है। इसका पूरक ((-\infty,-3]\cup\(5,\infty\)) होगा। / (A\cap B=(-3,5]). Its complement is ((-\infty,-3]\cup\(5,\infty\)).

Which concept should I revise for this Mathematics MCQ?

(A\cap B=(-3,5]). Its complement is ((-\infty,-3]\cup\(5,\infty\)).

What exam hint can help solve this Mathematics question?

(A\cap B=(-3,5]) है। इसका पूरक ((-\infty,-3]\cup\(5,\infty\)) होगा।