यदि \(U=\{1,2,3,4,5,6,7,8,9,10\}\) और \(A={x:x\in U,x\le 4}\) है, तो (A') का सबसे सही रूप कौन सा है?

If \(U=\{1,2,3,4,5,6,7,8,9,10\}\) and \(A={x:x\in U,x\le 4}\), which is the most correct form of (A')?

Explanation opens after your attempt
Correct Answer

A. \(A'={x:x\in U,x>4}\)

Step 1

Concept

(A) contains elements up to (4), so the complement contains elements greater than (4). When reversing the inequality, equality is removed.

Step 2

Why this answer is correct

The correct answer is A. \(A'={x:x\in U,x>4}\). (A) contains elements up to (4), so the complement contains elements greater than (4). When reversing the inequality, equality is removed.

Step 3

Exam Tip

(A) में (4) तक के अवयव हैं, इसलिए पूरक में (4) से बड़े अवयव होंगे। असमानता का उल्टा करते समय बराबरी हटती है।

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Mathematics Answer, Explanation and Revision Hints

यदि \(U=\{1,2,3,4,5,6,7,8,9,10\}\) और \(A={x:x\in U,x\le 4}\) है, तो (A') का सबसे सही रूप कौन सा है? / If \(U=\{1,2,3,4,5,6,7,8,9,10\}\) and \(A={x:x\in U,x\le 4}\), which is the most correct form of (A')?

Correct Answer: A. \(A'={x:x\in U,x>4}\). Explanation: (A) में (4) तक के अवयव हैं, इसलिए पूरक में (4) से बड़े अवयव होंगे। असमानता का उल्टा करते समय बराबरी हटती है। / (A) contains elements up to (4), so the complement contains elements greater than (4). When reversing the inequality, equality is removed.

Which concept should I revise for this Mathematics MCQ?

(A) contains elements up to (4), so the complement contains elements greater than (4). When reversing the inequality, equality is removed.

What exam hint can help solve this Mathematics question?

(A) में (4) तक के अवयव हैं, इसलिए पूरक में (4) से बड़े अवयव होंगे। असमानता का उल्टा करते समय बराबरी हटती है।