If K = {x : x ∈ ℕ₀ and x < 4}, where ℕ₀ is the set of whole numbers, what is K?
Answer and explanation
Correct answer: K = {0, 1, 2, 3}
The governing concept is roster representation from a domain and an inequality. Whole numbers are 0, 1, 2, 3, 4, and so on. The strict condition x<4 includes 0, 1, 2, and 3 but excludes 4. Negative integers are not whole numbers, so they cannot be included. Consequently, the complete set is K={0,1,2,3}, which is option A.
Frequently asked questions
What is the correct answer to this question?
K = {0, 1, 2, 3}
Why is this the correct answer?
The governing concept is roster representation from a domain and an inequality. Whole numbers are 0, 1, 2, 3, 4, and so on. The strict condition x<4 includes 0, 1, 2, and 3 but excludes 4. Negative integers are not whole numbers, so they cannot be included. Consequently, the complete set is K={0,1,2,3}, which is option A.
Which subject and chapter does this question cover?
This is a Class 10 Mathematics question. Chapter: Sets. Topic: Sets and their representations.
