यदि \(U=\{1,2,3,4,5,6,7,8\}\), \(A=\{1,3,5,7\}\) और \(C=A^c\) है, तो \(C^c\) क्या होगा?

If \(U=\{1,2,3,4,5,6,7,8\}\), \(A=\{1,3,5,7\}\), and \(C=A^c\), what is \(C^c\)?

Explanation opens after your attempt
Correct Answer

A. ({1,3,5,7})

Step 1

Concept

\(C=A^c\), so (C^c=\(A^c\)^c=A). The double complement returns the original set.

Step 2

Why this answer is correct

The correct answer is A. ({1,3,5,7}). \(C=A^c\), so (C^c=\(A^c\)^c=A). The double complement returns the original set.

Step 3

Exam Tip

\(C=A^c\) है, इसलिए (C^c=\(A^c\)^c=A)। दोहरे पूरक में मूल समुच्चय वापस आता है।

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Mathematics Answer, Explanation and Revision Hints

यदि \(U=\{1,2,3,4,5,6,7,8\}\), \(A=\{1,3,5,7\}\) और \(C=A^c\) है, तो \(C^c\) क्या होगा? / If \(U=\{1,2,3,4,5,6,7,8\}\), \(A=\{1,3,5,7\}\), and \(C=A^c\), what is \(C^c\)?

Correct Answer: A. ({1,3,5,7}). Explanation: \(C=A^c\) है, इसलिए (C^c=\(A^c\)^c=A)। दोहरे पूरक में मूल समुच्चय वापस आता है। / \(C=A^c\), so (C^c=\(A^c\)^c=A). The double complement returns the original set.

Which concept should I revise for this Mathematics MCQ?

\(C=A^c\), so (C^c=\(A^c\)^c=A). The double complement returns the original set.

What exam hint can help solve this Mathematics question?

\(C=A^c\) है, इसलिए (C^c=\(A^c\)^c=A)। दोहरे पूरक में मूल समुच्चय वापस आता है।