Let \(U=\{a,b,c,d,e,f\}\), \(A=\{a,c,e\}\), and \(B=\{b,c,d\}\). What is \(A\cup B\)?
Answer and explanation
Correct answer: \(\{a,b,c,d,e\}\)
The union contains every distinct element that occurs in A or in B, including elements common to both. Combining A = {a,c,e} and B = {b,c,d} gives {a,b,c,d,e}; the shared element c is written only once because sets do not repeat elements. The element f is in the universal set but in neither A nor B, so it is not part of the union.
Frequently asked questions
What is the correct answer to this question?
\(\{a,b,c,d,e\}\)
Why is this the correct answer?
The union contains every distinct element that occurs in A or in B, including elements common to both. Combining A = {a,c,e} and B = {b,c,d} gives {a,b,c,d,e}; the shared element c is written only once because sets do not repeat elements. The element f is in the universal set but in neither A nor B, so it is not part of the union.
Which subject and chapter does this question cover?
This is a Class 10 Mathematics question. Chapter: Sets. Topic: Operations on Sets (Union, Intersection, Difference).
