Which of the following sets is empty?
Answer and explanation
Correct answer: A={x∈N: x<0}
The governing concept is the definition of an empty set: it has no element satisfying the stated condition. Under the convention used here, N={1,2,3,...}, so no natural number is less than 0 and A has no member. In contrast, B contains 0, C contains -1 and 1 because both have square 1, and D contains 1. Therefore A is empty.
Frequently asked questions
What is the correct answer to this question?
A={x∈N: x<0}
Why is this the correct answer?
The governing concept is the definition of an empty set: it has no element satisfying the stated condition. Under the convention used here, N={1,2,3,...}, so no natural number is less than 0 and A has no member. In contrast, B contains 0, C contains -1 and 1 because both have square 1, and D contains 1. Therefore A is empty.
Which subject and chapter does this question cover?
This is a Class 9 Mathematics question. Chapter: Number Systems.
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