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Class 10MathematicsSetsOperations on Sets (Union, Intersection, Difference)EasyLevel 18

If A = {1, 3, 5, 7}, B = {3, 5, 9}, and C = {5, 7, 11}, what is (A ∩ B) ∪ C?

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Answer and explanation

Correct answer: {3, 5, 7, 11}

Follow the parentheses and calculate the intersection first. A ∩ B contains the elements common to A and B, so A ∩ B = {3, 5}. Now take the union with C = {5, 7, 11}; include every element appearing in either set, without repeating 5. The result is {3, 5, 7, 11}, so option A is correct.

Tags

setsintersectionunionorder of operationscompound set operationsOperations on Sets (UnionDifference)operations on sets union intersection differenceMathematics

Frequently asked questions

What is the correct answer to this question?

{3, 5, 7, 11}

Why is this the correct answer?

Follow the parentheses and calculate the intersection first. A ∩ B contains the elements common to A and B, so A ∩ B = {3, 5}. Now take the union with C = {5, 7, 11}; include every element appearing in either set, without repeating 5. The result is {3, 5, 7, 11}, so 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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