Which set is a subset of the closed interval [0, 3]?
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Answer and explanation
Correct answer: {0, 1, 2, 3}
The closed interval [0, 3] contains every real number x satisfying 0 ≤ x ≤ 3, and both endpoints 0 and 3 are included. The elements 0, 1, 2, and 3 all satisfy this condition, so {0, 1, 2, 3} is a subset of [0, 3]. Each other option contains at least one number outside the interval: −1, 4, or −2.
Frequently asked questions
What is the correct answer to this question?
{0, 1, 2, 3}
Why is this the correct answer?
The closed interval [0, 3] contains every real number x satisfying 0 ≤ x ≤ 3, and both endpoints 0 and 3 are included. The elements 0, 1, 2, and 3 all satisfy this condition, so {0, 1, 2, 3} is a subset of [0, 3]. Each other option contains at least one number outside the interval: −1, 4, or −2.
Which subject and chapter does this question cover?
This is a Class 10 Mathematics question. Chapter: Sets. Topic: Equal sets and Subsets.
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