यदि \(A={x:x\in\mathbb{R},x^2\le 16}\) और \(B={x:x\in\mathbb{R},x>1}\) है, तो \(A\cap B\) क्या है?

If \(A={x:x\in\mathbb{R},x^2\le 16}\) and \(B={x:x\in\mathbb{R},x>1}\), then what is \(A\cap B\)?

Explanation opens after your attempt
Correct Answer

A. ((1,4])

Step 1

Concept

From \(x^2\le 16\), (A=[-4,4]). With (x>1), the common part is ((1,4]).

Step 2

Why this answer is correct

The correct answer is A. ((1,4]). From \(x^2\le 16\), (A=[-4,4]). With (x>1), the common part is ((1,4]).

Step 3

Exam Tip

\(x^2\le 16\) से (A=[-4,4]) है। (x>1) के साथ साझा भाग ((1,4]) है।

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Mathematics Answer, Explanation and Revision Hints

यदि \(A={x:x\in\mathbb{R},x^2\le 16}\) और \(B={x:x\in\mathbb{R},x>1}\) है, तो \(A\cap B\) क्या है? / If \(A={x:x\in\mathbb{R},x^2\le 16}\) and \(B={x:x\in\mathbb{R},x>1}\), then what is \(A\cap B\)?

Correct Answer: A. ((1,4]). Explanation: \(x^2\le 16\) से (A=[-4,4]) है। (x>1) के साथ साझा भाग ((1,4]) है। / From \(x^2\le 16\), (A=[-4,4]). With (x>1), the common part is ((1,4]).

Which concept should I revise for this Mathematics MCQ?

From \(x^2\le 16\), (A=[-4,4]). With (x>1), the common part is ((1,4]).

What exam hint can help solve this Mathematics question?

\(x^2\le 16\) से (A=[-4,4]) है। (x>1) के साथ साझा भाग ((1,4]) है।