यदि \(A={x:x\in\mathbb{Z},x^2\le4}\), तो (A) के उचित उपसमुच्चयों की संख्या कितनी है?

If \(A={x:x\in\mathbb{Z},x^2\le4}\), how many proper subsets does (A) have?

Explanation opens after your attempt
Correct Answer

B. (31)

Step 1

Concept

\(A=\{-2,-1,0,1,2\}\) has (5) elements. Proper subsets are \(2^5-1=31\).

Step 2

Why this answer is correct

The correct answer is B. (31). \(A=\{-2,-1,0,1,2\}\) has (5) elements. Proper subsets are \(2^5-1=31\).

Step 3

Exam Tip

\(A=\{-2,-1,0,1,2\}\) में (5) सदस्य हैं। उचित उपसमुच्चय \(2^5-1=31\) होंगे।

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Mathematics Answer, Explanation and Revision Hints

यदि \(A={x:x\in\mathbb{Z},x^2\le4}\), तो (A) के उचित उपसमुच्चयों की संख्या कितनी है? / If \(A={x:x\in\mathbb{Z},x^2\le4}\), how many proper subsets does (A) have?

Correct Answer: B. (31). Explanation: \(A=\{-2,-1,0,1,2\}\) में (5) सदस्य हैं। उचित उपसमुच्चय \(2^5-1=31\) होंगे। / \(A=\{-2,-1,0,1,2\}\) has (5) elements. Proper subsets are \(2^5-1=31\).

Which concept should I revise for this Mathematics MCQ?

\(A=\{-2,-1,0,1,2\}\) has (5) elements. Proper subsets are \(2^5-1=31\).

What exam hint can help solve this Mathematics question?

\(A=\{-2,-1,0,1,2\}\) में (5) सदस्य हैं। उचित उपसमुच्चय \(2^5-1=31\) होंगे।