Which set is a subset of (0, 1)?
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Answer and explanation
Correct answer: {1/4, 3/4}
The open interval (0, 1) contains exactly the real numbers strictly greater than 0 and strictly less than 1. Both 1/4 and 3/4 satisfy these conditions, so every element of {1/4, 3/4} belongs to (0, 1). The other choices contain 0, 1, or a negative number and therefore are not subsets.
Frequently asked questions
What is the correct answer to this question?
{1/4, 3/4}
Why is this the correct answer?
The open interval (0, 1) contains exactly the real numbers strictly greater than 0 and strictly less than 1. Both 1/4 and 3/4 satisfy these conditions, so every element of {1/4, 3/4} belongs to (0, 1). The other choices contain 0, 1, or a negative number and therefore are not subsets.
Which subject and chapter does this question cover?
This is a Class 10 Mathematics question. Chapter: Sets. Topic: Power Set and Subsets.
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