Which is the roster form of Q = {x ∈ ℕ : x² ≤ 25}?
Answer and explanation
Correct answer: {1, 2, 3, 4, 5}
For natural numbers, using the convention in this question, x starts at 1. The inequality x² ≤ 25 means x ≤ 5 because x is positive. Thus the possible natural numbers are 1, 2, 3, 4, and 5; each has a square no greater than 25. Negative integers are not natural numbers here, and 0 is excluded by the stated convention. Therefore Q = {1, 2, 3, 4, 5}.
Frequently asked questions
What is the correct answer to this question?
{1, 2, 3, 4, 5}
Why is this the correct answer?
For natural numbers, using the convention in this question, x starts at 1. The inequality x² ≤ 25 means x ≤ 5 because x is positive. Thus the possible natural numbers are 1, 2, 3, 4, and 5; each has a square no greater than 25. Negative integers are not natural numbers here, and 0 is excluded by the stated convention. Therefore Q = {1, 2, 3, 4, 5}.
Which subject and chapter does this question cover?
This is a Class 10 Mathematics question. Chapter: Sets. Topic: Sets and their representations.
