Which option can be the set-builder form of F = {0, 1, 2, 3, 4}?
Answer and explanation
Correct answer: F = {x : x is a whole number and x < 5}
The governing concept is set-builder notation: the rule must generate every member of F and no other member. Whole numbers are 0, 1, 2, 3, 4, and so on; imposing x < 5 leaves exactly {0, 1, 2, 3, 4}. Under the usual school convention used here, natural numbers begin at 1, so B omits 0. C gives larger integers and D gives only even numbers. Hence A is correct.
Frequently asked questions
What is the correct answer to this question?
F = {x : x is a whole number and x < 5}
Why is this the correct answer?
The governing concept is set-builder notation: the rule must generate every member of F and no other member. Whole numbers are 0, 1, 2, 3, 4, and so on; imposing x < 5 leaves exactly {0, 1, 2, 3, 4}. Under the usual school convention used here, natural numbers begin at 1, so B omits 0. C gives larger integers and D gives only even numbers. Hence A is correct.
Which subject and chapter does this question cover?
This is a Class 9 Mathematics question. Chapter: Common Questions. Topic: General chapter practice.
