If A = {m, n, o} and B = ∅, what is A ∪ B?
Advertisement
Answer and explanation
Correct answer: {m, n, o}
The union of two sets contains every element found in either set. The empty set B = ∅ contributes no elements at all, so combining A = {m, n, o} with B does not add or remove anything. Consequently, A ∪ ∅ = A = {m, n, o}. This is called the identity property of the empty set under union.
Frequently asked questions
What is the correct answer to this question?
{m, n, o}
Why is this the correct answer?
The union of two sets contains every element found in either set. The empty set B = ∅ contributes no elements at all, so combining A = {m, n, o} with B does not add or remove anything. Consequently, A ∪ ∅ = A = {m, n, o}. This is called the identity property of the empty set under 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).
Advertisement