If A = {11, 22, 33}, what is A ∪ ∅?
Answer and explanation
Correct answer: {11, 22, 33}
The empty set contains no elements, so taking the union of A with the empty set does not add anything to A. The identity property of union is A ∪ ∅ = A. Since A = {11, 22, 33}, the result is {11, 22, 33}. Therefore option B is correct. Notice that ∅ is not the same as {0}; the former has no elements, whereas the latter has one element, namely 0.
Frequently asked questions
What is the correct answer to this question?
{11, 22, 33}
Why is this the correct answer?
The empty set contains no elements, so taking the union of A with the empty set does not add anything to A. The identity property of union is A ∪ ∅ = A. Since A = {11, 22, 33}, the result is {11, 22, 33}. Therefore option B is correct. Notice that ∅ is not the same as {0}; the former has no elements, whereas the latter has one element, namely 0.
Which subject and chapter does this question cover?
This is a Class 10 Mathematics question. Chapter: Sets. Topic: Operations on Sets (Union, Intersection, Difference).
