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Class 10MathematicsSetsOperations on Sets (Union, Intersection, Difference)MediumLevel 10

If A = {1, 2, 3, 4, 5}, B = {2, 4, 6}, and C = {1, 4, 7}, what is (A ∪ B) ∩ C?

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Answer and explanation

Correct answer: {1, 4}

First form the union A ∪ B by listing every element appearing in either set: A ∪ B = {1, 2, 3, 4, 5, 6}. Next intersect this result with C = {1, 4, 7}. The elements common to both sets are 1 and 4; 7 is absent from A ∪ B. Therefore, (A ∪ B) ∩ C = {1, 4}.

Tags

setsunionintersectionfinite-setsthree-setsOperations on Sets (UnionDifference)operations on sets union intersection differenceMathematics

Frequently asked questions

What is the correct answer to this question?

{1, 4}

Why is this the correct answer?

First form the union A ∪ B by listing every element appearing in either set: A ∪ B = {1, 2, 3, 4, 5, 6}. Next intersect this result with C = {1, 4, 7}. The elements common to both sets are 1 and 4; 7 is absent from A ∪ B. Therefore, (A ∪ B) ∩ C = {1, 4}.

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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10 more MCQs
  1. 1If A = [1, 4] and B = (2, 5), what is A ∩ B?
  2. 2If A = (0, 3) and B = [3, 7], what is A ∩ B?
  3. 3If A = [−3, 2] and B = [0, 5], what is A ∪ B?
  4. 4If A = (1, 2) and B = (3, 4), how should A ∪ B be written?
  5. 5If A = (−∞, 4] and B = (1, ∞), what is A ∩ B?
  6. 6If A = {x ∈ R : x ≤ 0} and B = {x ∈ R : x ≥ 0}, what is A ∩ B?
  7. 7If A = (−4, 1] and B = [−2, 3), what is A \ B?
  8. 8If A = {x : x is a positive multiple of 2 or 3 less than 12}, what is A?
  9. 9If \(A=\{1,2,3,4\}\) and \(B=\{2,3\}\), which statement about \(A-B\) is correct?
  10. 10If A ⊆ B, which of the following statements is always true?
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