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Subjects
Class 10MathematicsSetsOperations on Sets (Union, Intersection, Difference)EasyLevel 10

If \(A=\{2,3,5,7,11,13\}\) and \(B=\{x\in A:x>5\}\), find \(A\cap B\).

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Answer and explanation

Correct answer: \(\{7,11,13\}\)

Set \(B\) is formed by selecting from \(A\) only those elements strictly greater than 5. Testing the elements gives \(B=\{7,11,13\}\); the value 5 is excluded because 5 is not greater than 5. Since \(B\subseteq A\), the intersection \(A\cap B\) equals \(B\), namely \(\{7,11,13\}\).

Tags

setsset-builder notationintersectioninequalityOperations on Sets (UnionDifference)operations on sets union intersection differenceMathematicsClass 10 MCQ

Frequently asked questions

What is the correct answer to this question?

\(\{7,11,13\}\)

Why is this the correct answer?

Set \(B\) is formed by selecting from \(A\) only those elements strictly greater than 5. Testing the elements gives \(B=\{7,11,13\}\); the value 5 is excluded because 5 is not greater than 5. Since \(B\subseteq A\), the intersection \(A\cap B\) equals \(B\), namely \(\{7,11,13\}\).

Which subject and chapter does this question cover?

This is a Class 10 Mathematics question. Chapter: Sets. Topic: Operations on Sets (Union, Intersection, Difference).

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