What type of set is A = {x : x is a counting number from 1 to 5}?
Answer and explanation
Correct answer: Finite set
The counting numbers from 1 through 5 are 1, 2, 3, 4, and 5. Thus, A has exactly five distinct elements. A set with a fixed and limited number of elements is called a finite set. It is not empty because it has elements, not infinite because its elements can be completely counted, and not an equal set because equality requires comparison with another set.
Frequently asked questions
What is the correct answer to this question?
Finite set
Why is this the correct answer?
The counting numbers from 1 through 5 are 1, 2, 3, 4, and 5. Thus, A has exactly five distinct elements. A set with a fixed and limited number of elements is called a finite set. It is not empty because it has elements, not infinite because its elements can be completely counted, and not an equal set because equality requires comparison with another 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.
