Choose the correct roster form of F = {x : x is a natural number and x ≤ 4}.
Answer and explanation
Correct answer: F = {1, 2, 3, 4}
Roster form lists the individual elements of a set. Using the usual school convention that natural numbers begin with 1, the natural numbers satisfying x ≤ 4 are 1, 2, 3, and 4. The symbol ≤ includes 4 itself. Zero is generally treated as a whole number rather than a natural number in this convention, so option B is correct.
Frequently asked questions
What is the correct answer to this question?
F = {1, 2, 3, 4}
Why is this the correct answer?
Roster form lists the individual elements of a set. Using the usual school convention that natural numbers begin with 1, the natural numbers satisfying x ≤ 4 are 1, 2, 3, and 4. The symbol ≤ includes 4 itself. Zero is generally treated as a whole number rather than a natural number in this convention, so option B is correct.
Which subject and chapter does this question cover?
This is a Class 9 Mathematics question. Chapter: Common Questions. Topic: General chapter practice.
