If A = {1, 2, 3}, B = {3, 4}, and C = {2, 3, 5}, 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}. Set difference removes from this result every element that belongs to C. Since 2 and 3 are in C, remove them; 1 and 4 are not in C and remain. Thus (A ∪ B) \ C = {1,4}, so option A is correct.
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}. Set difference removes from this result every element that belongs to C. Since 2 and 3 are in C, remove them; 1 and 4 are not in C and remain. Thus (A ∪ B) \ C = {1,4}, so 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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