If A = {x : x is the name of a month}, what type of set is A?
Answer and explanation
Correct answer: Finite set
The names of the months in a year are January through December, giving exactly twelve distinct elements. Since the number of month names is fixed and limited, A is a finite set. It is not empty because month names exist, not infinite because there are only twelve of them, and not a singleton because a singleton has exactly one element.
Frequently asked questions
What is the correct answer to this question?
Finite set
Why is this the correct answer?
The names of the months in a year are January through December, giving exactly twelve distinct elements. Since the number of month names is fixed and limited, A is a finite set. It is not empty because month names exist, not infinite because there are only twelve of them, and not a singleton because a singleton has exactly one element.
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.
