If C₁ = {x : x is an odd natural number less than 30}, which statement is correct about C₁?
Answer and explanation
Correct answer: It is finite
The odd natural numbers less than 30 are 1, 3, 5, 7, 9, 11, 13, 15, 17, 19, 21, 23, 25, 27, and 29. This list contains 15 elements and stops at 29 because the condition requires the number to be less than 30. A set with a limited, countable number of elements is called a finite set. Therefore, C₁ is finite, not empty or infinite, and it is not equal to the complete set of natural numbers.
Frequently asked questions
What is the correct answer to this question?
It is finite
Why is this the correct answer?
The odd natural numbers less than 30 are 1, 3, 5, 7, 9, 11, 13, 15, 17, 19, 21, 23, 25, 27, and 29. This list contains 15 elements and stops at 29 because the condition requires the number to be less than 30. A set with a limited, countable number of elements is called a finite set. Therefore, C₁ is finite, not empty or infinite, and it is not equal to the complete set of natural numbers.
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.
