What type of set is A = {x : x is a month having exactly 30 days}?
Answer and explanation
Correct answer: Finite and non-empty
The months with exactly 30 days are April, June, September, and November. There are four such months, so the set contains a fixed, limited number of distinct elements. It is therefore finite. Because these four months actually exist, the set is also non-empty. Hence the correct classification is finite and non-empty.
Frequently asked questions
What is the correct answer to this question?
Finite and non-empty
Why is this the correct answer?
The months with exactly 30 days are April, June, September, and November. There are four such months, so the set contains a fixed, limited number of distinct elements. It is therefore finite. Because these four months actually exist, the set is also non-empty. Hence the correct classification is finite and non-empty.
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.
