For K = {x : x is a natural number and x < 4}, which statement is correct?
Answer and explanation
Correct answer: K = {1, 2, 3}
The governing concept is listing members that satisfy a set-builder rule. In this question, natural numbers are taken as 1, 2, 3, and so on. The numbers less than 4 are therefore 1, 2, and 3, giving K = {1, 2, 3}. Zero is excluded under this convention, and the strict inequality x < 4 excludes 4. Hence option A contains exactly the required elements.
Frequently asked questions
What is the correct answer to this question?
K = {1, 2, 3}
Why is this the correct answer?
The governing concept is listing members that satisfy a set-builder rule. In this question, natural numbers are taken as 1, 2, 3, and so on. The numbers less than 4 are therefore 1, 2, and 3, giving K = {1, 2, 3}. Zero is excluded under this convention, and the strict inequality x < 4 excludes 4. Hence option A contains exactly the required elements.
Which subject and chapter does this question cover?
This is a Class 9 Mathematics question. Chapter: Number Systems. Topic: General chapter practice.
