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If A = {10, 20, 30, 40}, B = {20, 50}, and C = {30, 60}, what is A − (B ∪ C)?
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Answer and explanation
Correct answer: {10, 40}
First find the union B ∪ C = {20, 30, 50, 60}. Set difference A − (B ∪ C) keeps the elements of A that do not occur in that union. From A = {10, 20, 30, 40}, remove 20 and 30; 50 and 60 are not in A and therefore have no effect. The result is {10, 40}.
Frequently asked questions
What is the correct answer to this question?
{10, 40}
Why is this the correct answer?
First find the union B ∪ C = {20, 30, 50, 60}. Set difference A − (B ∪ C) keeps the elements of A that do not occur in that union. From A = {10, 20, 30, 40}, remove 20 and 30; 50 and 60 are not in A and therefore have no effect. The result is {10, 40}.
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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