What type of set is A = {x : x is one of the days of a week}?
Answer and explanation
Correct answer: Finite set
A week has exactly seven days: Monday, Tuesday, Wednesday, Thursday, Friday, Saturday, and Sunday. This collection has a fixed and countable number of distinct elements. Since its elements can be completely listed and the list ends after seven items, A is a finite set, not an infinite or empty set.
Frequently asked questions
What is the correct answer to this question?
Finite set
Why is this the correct answer?
A week has exactly seven days: Monday, Tuesday, Wednesday, Thursday, Friday, Saturday, and Sunday. This collection has a fixed and countable number of distinct elements. Since its elements can be completely listed and the list ends after seven items, A is a finite set, not an infinite or empty set.
Which subject and chapter does this question cover?
This is a Class 10 Mathematics question. Chapter: Sets. Topic: The Empty Set, Finite and Infinite Sets, Equal Sets.