What type of set is the set of integers strictly between 0 and 1?
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Answer and explanation
Correct answer: Empty set
The integers are ..., −2, −1, 0, 1, 2, ... . The numbers 0 and 1 are consecutive integers, so there is no integer strictly between them. Because the interval is strict, 0 and 1 themselves are not included either. Consequently, no integer satisfies the condition, and the set is empty: ∅.
Frequently asked questions
What is the correct answer to this question?
Empty set
Why is this the correct answer?
The integers are ..., −2, −1, 0, 1, 2, ... . The numbers 0 and 1 are consecutive integers, so there is no integer strictly between them. Because the interval is strict, 0 and 1 themselves are not included either. Consequently, no integer satisfies the condition, and the set is empty: ∅.
Which subject and chapter does this question cover?
This is a Class 10 Mathematics question. Chapter: Sets. Topic: The Empty Set, Finite and Infinite Sets, Equal Sets.
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