If U = {10, 20, 30, 40, 50}, A = {10, 20, 40}, and B = {20, 30}, what is A − B?
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Answer and explanation
Correct answer: {10, 40}
The difference A − B contains the elements that are present in A but absent from B. Set A contains 10, 20, and 40, while set B contains 20 and 30. Therefore, remove 20 from A; 10 and 40 remain. Hence, A − B = {10, 40}. The universal set U is not needed for this particular difference operation.
Frequently asked questions
What is the correct answer to this question?
{10, 40}
Why is this the correct answer?
The difference A − B contains the elements that are present in A but absent from B. Set A contains 10, 20, and 40, while set B contains 20 and 30. Therefore, remove 20 from A; 10 and 40 remain. Hence, A − B = {10, 40}. The universal set U is not needed for this particular difference operation.
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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