Which statement is correct about the set A = {0, 2, 4, 6, 8}?
Answer and explanation
Correct answer: It is a finite set
The set A is explicitly listed as {0, 2, 4, 6, 8}. Its distinct elements can be counted: there are exactly five of them. Because the counting ends and no additional elements are implied by the notation, A has a limited number of elements. A set with a limited number of elements is called a finite set. Therefore, option C is correct.
Frequently asked questions
What is the correct answer to this question?
It is a finite set
Why is this the correct answer?
The set A is explicitly listed as {0, 2, 4, 6, 8}. Its distinct elements can be counted: there are exactly five of them. Because the counting ends and no additional elements are implied by the notation, A has a limited number of elements. A set with a limited number of elements is called a finite set. Therefore, option C is correct.
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.