Which set is not a subset of the open interval (0, 3)?
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Answer and explanation
Correct answer: {0, 1}
The open interval (0, 3) consists of all real numbers strictly greater than 0 and strictly less than 3. Its endpoints 0 and 3 are excluded. Option A contains 0, so not every element of {0, 1} lies in (0, 3); consequently, it is not a subset. Every element in options B, C, and D lies strictly between 0 and 3.
Frequently asked questions
What is the correct answer to this question?
{0, 1}
Why is this the correct answer?
The open interval (0, 3) consists of all real numbers strictly greater than 0 and strictly less than 3. Its endpoints 0 and 3 are excluded. Option A contains 0, so not every element of {0, 1} lies in (0, 3); consequently, it is not a subset. Every element in options B, C, and D lies strictly between 0 and 3.
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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