If A = {1, 2, 3, 4, 5, 6}, B = {2, 3, 5}, and C = {3, 4, 6}, what is (A − B) ∩ C?
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Answer and explanation
Correct answer: {4, 6}
Evaluate the expression inside the parentheses first. Removing B = {2, 3, 5} from A = {1, 2, 3, 4, 5, 6} gives A − B = {1, 4, 6}. Now intersect this result with C = {3, 4, 6}. The elements common to {1, 4, 6} and C are 4 and 6. Therefore, (A − B) ∩ C = {4, 6}.
Frequently asked questions
What is the correct answer to this question?
{4, 6}
Why is this the correct answer?
Evaluate the expression inside the parentheses first. Removing B = {2, 3, 5} from A = {1, 2, 3, 4, 5, 6} gives A − B = {1, 4, 6}. Now intersect this result with C = {3, 4, 6}. The elements common to {1, 4, 6} and C are 4 and 6. Therefore, (A − B) ∩ C = {4, 6}.
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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