यदि \(U=\mathbb{Z}\) और \(A={x:x \in \mathbb{Z}, x>0}\), तो \(A^{c}\) क्या दर्शाता है?

If \(U=\mathbb{Z}\) and \(A={x:x \in \mathbb{Z}, x>0}\), what does \(A^{c}\) represent?

Explanation opens after your attempt
Correct Answer

B. \({x:x \in \mathbb{Z}, x\le 0}\)

Step 1

Concept

(A) contains positive integers, so the complement includes (0) and negative integers. Always check the boundary value in inequalities.

Step 2

Why this answer is correct

The correct answer is B. \({x:x \in \mathbb{Z}, x\le 0}\). (A) contains positive integers, so the complement includes (0) and negative integers. Always check the boundary value in inequalities.

Step 3

Exam Tip

(A) में धन पूर्णांक हैं, इसलिए पूरक में (0) और ऋण पूर्णांक आते हैं। असमानता में सीमांत मान जरूर जांचें।

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Mathematics Answer, Explanation and Revision Hints

यदि \(U=\mathbb{Z}\) और \(A={x:x \in \mathbb{Z}, x>0}\), तो \(A^{c}\) क्या दर्शाता है? / If \(U=\mathbb{Z}\) and \(A={x:x \in \mathbb{Z}, x>0}\), what does \(A^{c}\) represent?

Correct Answer: B. \({x:x \in \mathbb{Z}, x\le 0}\). Explanation: (A) में धन पूर्णांक हैं, इसलिए पूरक में (0) और ऋण पूर्णांक आते हैं। असमानता में सीमांत मान जरूर जांचें। / (A) contains positive integers, so the complement includes (0) and negative integers. Always check the boundary value in inequalities.

Which concept should I revise for this Mathematics MCQ?

(A) contains positive integers, so the complement includes (0) and negative integers. Always check the boundary value in inequalities.

What exam hint can help solve this Mathematics question?

(A) में धन पूर्णांक हैं, इसलिए पूरक में (0) और ऋण पूर्णांक आते हैं। असमानता में सीमांत मान जरूर जांचें।