If U = {1,2,3,4,5,6,7,8,9,10}, A = {1,2,5,10}, and B = {2,4,6,8,10}, what is A ∪ B?
Answer and explanation
Correct answer: {1,2,4,5,6,8,10}
A union B contains every element belonging to A or B, without repetition. Combining A = {1,2,5,10} with B = {2,4,6,8,10} gives {1,2,4,5,6,8,10}. Option B is only the intersection, option C is the complement of the union in U, and option D is the entire universal set rather than the requested union.
Frequently asked questions
What is the correct answer to this question?
{1,2,4,5,6,8,10}
Why is this the correct answer?
A union B contains every element belonging to A or B, without repetition. Combining A = {1,2,5,10} with B = {2,4,6,8,10} gives {1,2,4,5,6,8,10}. Option B is only the intersection, option C is the complement of the union in U, and option D is the entire universal set rather than the requested 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).