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Class 10MathematicsSetsOperations on Sets (Union, Intersection, Difference)EasyLevel 16

If A = {1, 2, 5, 7}, B = {2, 4, 6}, and C = {5, 6, 8}, what is A ∩ (B ∪ C)?

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Answer and explanation

Correct answer: {2, 5}

First evaluate the expression inside the parentheses: B ∪ C = {2, 4, 5, 6, 8}. Next, compare this set with A = {1, 2, 5, 7}. The elements common to both sets are 2 and 5. Hence A ∩ (B ∪ C) = {2, 5}. Option C is only the union and does not complete the outer intersection.

Tags

setsunionintersectionset-operationsOperations on Sets (UnionDifference)operations on sets union intersection differenceMathematicsClass 10 MCQ

Frequently asked questions

What is the correct answer to this question?

{2, 5}

Why is this the correct answer?

First evaluate the expression inside the parentheses: B ∪ C = {2, 4, 5, 6, 8}. Next, compare this set with A = {1, 2, 5, 7}. The elements common to both sets are 2 and 5. Hence A ∩ (B ∪ C) = {2, 5}. Option C is only the union and does not complete the outer intersection.

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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