यदि \(U=\mathbb{R}\), (A=\(-\infty,1\)) और (B=\(4,\infty\)), तो (\(A \cup B\)') क्या है?

If \(U=\mathbb{R}\), (A=\(-\infty,1\)), and (B=\(4,\infty\)), what is (\(A \cup B\)')?

Explanation opens after your attempt
Correct Answer

A. ([1,4])

Step 1

Concept

The set \(A \cup B\) does not include (1) and (4). Hence the complement includes both endpoints, giving ([1,4]).

Step 2

Why this answer is correct

The correct answer is A. ([1,4]). The set \(A \cup B\) does not include (1) and (4). Hence the complement includes both endpoints, giving ([1,4]).

Step 3

Exam Tip

\(A \cup B\) में (1) और (4) शामिल नहीं हैं। इसलिए पूरक में दोनों सिरों सहित ([1,4]) आएगा।

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Mathematics Answer, Explanation and Revision Hints

यदि \(U=\mathbb{R}\), (A=\(-\infty,1\)) और (B=\(4,\infty\)), तो (\(A \cup B\)') क्या है? / If \(U=\mathbb{R}\), (A=\(-\infty,1\)), and (B=\(4,\infty\)), what is (\(A \cup B\)')?

Correct Answer: A. ([1,4]). Explanation: \(A \cup B\) में (1) और (4) शामिल नहीं हैं। इसलिए पूरक में दोनों सिरों सहित ([1,4]) आएगा। / The set \(A \cup B\) does not include (1) and (4). Hence the complement includes both endpoints, giving ([1,4]).

Which concept should I revise for this Mathematics MCQ?

The set \(A \cup B\) does not include (1) and (4). Hence the complement includes both endpoints, giving ([1,4]).

What exam hint can help solve this Mathematics question?

\(A \cup B\) में (1) और (4) शामिल नहीं हैं। इसलिए पूरक में दोनों सिरों सहित ([1,4]) आएगा।