If A = {1, 2, 4, 8, 16}, B = {2, 4, 6, 8, 10}, and C = {4, 8, 12, 16}, what is (A ∩ C) \ B?
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Answer and explanation
Correct answer: {16}
First find the intersection A ∩ C, which contains elements common to both sets: A ∩ C = {4, 8, 16}. Next take the difference with B by removing elements that occur in B. Both 4 and 8 belong to B, but 16 does not. Consequently, only 16 remains, so (A ∩ C) \ B = {16}.
Frequently asked questions
What is the correct answer to this question?
{16}
Why is this the correct answer?
First find the intersection A ∩ C, which contains elements common to both sets: A ∩ C = {4, 8, 16}. Next take the difference with B by removing elements that occur in B. Both 4 and 8 belong to B, but 16 does not. Consequently, only 16 remains, so (A ∩ C) \ B = {16}.
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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