What are all the one-element subsets of A={1,2,3}?
Answer and explanation
Correct answer: {1}, {2}, {3}
A one-element subset, also called a singleton set, contains exactly one element from the original set. Selecting 1, 2, or 3 individually from A gives the three singleton subsets {1}, {2}, and {3}. The empty set has zero elements, the two-element choices in option B are not singletons, and A itself has three elements, so option A is complete and correct.
Frequently asked questions
What is the correct answer to this question?
{1}, {2}, {3}
Why is this the correct answer?
A one-element subset, also called a singleton set, contains exactly one element from the original set. Selecting 1, 2, or 3 individually from A gives the three singleton subsets {1}, {2}, and {3}. The empty set has zero elements, the two-element choices in option B are not singletons, and A itself has three elements, so option A is complete and correct.
Which subject and chapter does this question cover?
This is a Class 10 Mathematics question. Chapter: Sets. Topic: Power Set and Subsets.
