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Class 10MathematicsSetsOperations on Sets (Union, Intersection, Difference)MediumLevel 17

If A = {r, s, t, u}, B = {s, u, v}, and C = {u, v, w}, what is A ∩ (B ∪ C)?

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Answer and explanation

Correct answer: {s, u}

First calculate the union inside the parentheses: B ∪ C = {s, u, v, w}. Next, retain only the elements that are also present in A = {r, s, t, u}. The common elements are s and u, while v and w are not in A and r and t are not in B ∪ C. Hence A ∩ (B ∪ C) = {s, u}; option A is correct.

Tags

setsunion-intersectiondistributive-set-expressionvenn-diagramOperations on Sets (UnionIntersectionDifference)operations on sets union intersection differenceMathematicsClass 10 MCQ

Frequently asked questions

What is the correct answer to this question?

{s, u}

Why is this the correct answer?

First calculate the union inside the parentheses: B ∪ C = {s, u, v, w}. Next, retain only the elements that are also present in A = {r, s, t, u}. The common elements are s and u, while v and w are not in A and r and t are not in B ∪ C. Hence A ∩ (B ∪ C) = {s, u}; option A is correct.

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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