Which statement about U = {x : x is an English word with four letters} is correct?
Answer and explanation
Correct answer: It is a set because membership is clearly determined.
A set is a well-defined collection whose membership can be decided objectively. For any specified English word, we can count its letters and determine whether it has exactly four letters. The collection may contain many words, but size does not affect whether it is a set. Therefore the clear membership rule makes option B correct.
Frequently asked questions
What is the correct answer to this question?
It is a set because membership is clearly determined.
Why is this the correct answer?
A set is a well-defined collection whose membership can be decided objectively. For any specified English word, we can count its letters and determine whether it has exactly four letters. The collection may contain many words, but size does not affect whether it is a set. Therefore the clear membership rule makes option B correct.
Which subject and chapter does this question cover?
This is a Class 9 Mathematics question. Chapter: Number Systems.
