यदि \(U={1,2,\ldots,12}\), \(A=\{1,2,3,4,5,6\}\) और \(B=\{4,5,6,7,8\}\), तो ((A-B)') क्या है?

If \(U={1,2,\ldots,12}\), \(A=\{1,2,3,4,5,6\}\) and \(B=\{4,5,6,7,8\}\), what is ((A-B)')?

Explanation opens after your attempt
Correct Answer

A. ({4,5,6,7,8,9,10,11,12})

Step 1

Concept

(A-B={1,2,3}), so its complement is (U-{1,2,3}). Thus the correct set is ({4,5,6,7,8,9,10,11,12}).

Step 2

Why this answer is correct

The correct answer is A. ({4,5,6,7,8,9,10,11,12}). (A-B={1,2,3}), so its complement is (U-{1,2,3}). Thus the correct set is ({4,5,6,7,8,9,10,11,12}).

Step 3

Exam Tip

(A-B={1,2,3}), इसलिए इसका पूरक (U-{1,2,3}) है। अतः सही समुच्चय ({4,5,6,7,8,9,10,11,12}) है।

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Mathematics Answer, Explanation and Revision Hints

यदि \(U={1,2,\ldots,12}\), \(A=\{1,2,3,4,5,6\}\) और \(B=\{4,5,6,7,8\}\), तो ((A-B)') क्या है? / If \(U={1,2,\ldots,12}\), \(A=\{1,2,3,4,5,6\}\) and \(B=\{4,5,6,7,8\}\), what is ((A-B)')?

Correct Answer: A. ({4,5,6,7,8,9,10,11,12}). Explanation: (A-B={1,2,3}), इसलिए इसका पूरक (U-{1,2,3}) है। अतः सही समुच्चय ({4,5,6,7,8,9,10,11,12}) है। / (A-B={1,2,3}), so its complement is (U-{1,2,3}). Thus the correct set is ({4,5,6,7,8,9,10,11,12}).

Which concept should I revise for this Mathematics MCQ?

(A-B={1,2,3}), so its complement is (U-{1,2,3}). Thus the correct set is ({4,5,6,7,8,9,10,11,12}).

What exam hint can help solve this Mathematics question?

(A-B={1,2,3}), इसलिए इसका पूरक (U-{1,2,3}) है। अतः सही समुच्चय ({4,5,6,7,8,9,10,11,12}) है।