If A = {x ∈ ℝ : 0 ≤ x ≤ 1}, which statement is correct?
Answer and explanation
Correct answer: A = [0, 1]
The condition 0 ≤ x ≤ 1 describes all real numbers from 0 through 1, including both endpoints. In interval notation, a square bracket means that the endpoint is included, while a round bracket means that it is excluded. Since both inequalities contain equality, both 0 and 1 belong to A. Therefore, A = [0, 1].
Frequently asked questions
What is the correct answer to this question?
A = [0, 1]
Why is this the correct answer?
The condition 0 ≤ x ≤ 1 describes all real numbers from 0 through 1, including both endpoints. In interval notation, a square bracket means that the endpoint is included, while a round bracket means that it is excluded. Since both inequalities contain equality, both 0 and 1 belong to A. Therefore, A = [0, 1].
Which subject and chapter does this question cover?
This is a Class 10 Mathematics question. Chapter: Sets. Topic: Sets and their representations.
