What type of set is {…, -5, -4, -3, -2, -1}?
Answer and explanation
Correct answer: Infinite set
The ellipsis on the left indicates that the sequence continues with further negative integers, such as -6, -7, -8, and so on. There is no final first element at the negative end, so the list does not terminate and its elements cannot all be counted. Therefore, the set has infinitely many elements and is an infinite set. Option C is correct.
Frequently asked questions
What is the correct answer to this question?
Infinite set
Why is this the correct answer?
The ellipsis on the left indicates that the sequence continues with further negative integers, such as -6, -7, -8, and so on. There is no final first element at the negative end, so the list does not terminate and its elements cannot all be counted. Therefore, the set has infinitely many elements and is an infinite set. 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.