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

If A = {a, b, c, d}, B = {b, c, e}, and C = {c, d, e}, what is A ∩ (B ∪ C)?

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Answer and explanation

Correct answer: {b, c, d}

Use the parentheses first. The union B ∪ C combines all distinct elements from B and C: {b, c, e} ∪ {c, d, e} = {b, c, d, e}. Next intersect this result with A = {a, b, c, d}. The common elements are b, c, and d; a is absent from the union and e is absent from A. Hence A ∩ (B ∪ C) = {b, c, d}.

Tags

setsunionintersectionorder of operationsOperations on Sets (UnionDifference)operations on sets union intersection differenceMathematicsClass 10 MCQ

Frequently asked questions

What is the correct answer to this question?

{b, c, d}

Why is this the correct answer?

Use the parentheses first. The union B ∪ C combines all distinct elements from B and C: {b, c, e} ∪ {c, d, e} = {b, c, d, e}. Next intersect this result with A = {a, b, c, d}. The common elements are b, c, and d; a is absent from the union and e is absent from A. Hence A ∩ (B ∪ C) = {b, c, d}.

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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