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

If A = {1, 2, 3, 4, 5} and B = {2, 4, 6}, what is A ∩ (A − B)?

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Answer and explanation

Correct answer: {1, 3, 5}

To find A − B, remove from A every element that also occurs in B. Thus, 2 and 4 are removed, while 1, 3, and 5 remain; therefore A − B = {1, 3, 5}. Since A − B is already a subset of A, intersecting it with A does not change it. Hence A ∩ (A − B) = {1, 3, 5}.

Tags

setsdifferenceintersectionsubsetsset-operationsOperations on Sets (UnionDifference)operations on sets union intersection differenceMathematics

Frequently asked questions

What is the correct answer to this question?

{1, 3, 5}

Why is this the correct answer?

To find A − B, remove from A every element that also occurs in B. Thus, 2 and 4 are removed, while 1, 3, and 5 remain; therefore A − B = {1, 3, 5}. Since A − B is already a subset of A, intersecting it with A does not change it. Hence A ∩ (A − B) = {1, 3, 5}.

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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