What type of set is A = {x : x is the name of a month}?
Answer and explanation
Correct answer: Finite set
A calendar year has exactly twelve months: January, February, March, April, May, June, July, August, September, October, November, and December. These names form a set with a fixed and limited number of distinct elements. Because its number of elements is 12, not unlimited, A is a finite set. Therefore option B is correct; it is neither empty nor infinite.
Frequently asked questions
What is the correct answer to this question?
Finite set
Why is this the correct answer?
A calendar year has exactly twelve months: January, February, March, April, May, June, July, August, September, October, November, and December. These names form a set with a fixed and limited number of distinct elements. Because its number of elements is 12, not unlimited, A is a finite set. Therefore option B is correct; it is neither empty nor infinite.
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.