If A = {1, 2, 3, 4, 5}, B = {3, 4, 5, 6}, and C = {5, 6, 7}, what is A ∩ (B − C)?
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Answer and explanation
Correct answer: {3, 4}
The difference B − C contains the elements that are in B but not in C. Since B = {3, 4, 5, 6} and C = {5, 6, 7}, removing 5 and 6 from B gives B − C = {3, 4}. Both 3 and 4 are also elements of A, so A ∩ (B − C) = A ∩ {3, 4} = {3, 4}. Therefore, option A is correct.
Frequently asked questions
What is the correct answer to this question?
{3, 4}
Why is this the correct answer?
The difference B − C contains the elements that are in B but not in C. Since B = {3, 4, 5, 6} and C = {5, 6, 7}, removing 5 and 6 from B gives B − C = {3, 4}. Both 3 and 4 are also elements of A, so A ∩ (B − C) = A ∩ {3, 4} = {3, 4}. Therefore, 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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