Which option correctly represents the set A₂ = {x ∈ ℤ : 0 < x < 1}?
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Answer and explanation
Correct answer: ∅
The variable x is required to be an integer and must satisfy both 0 < x and x < 1. There is no integer strictly between 0 and 1; numbers such as 0.5 are real numbers, not integers. The endpoints are also excluded by the strict inequalities. Therefore, the set contains no element and is the empty set, ∅.
Frequently asked questions
What is the correct answer to this question?
∅
Why is this the correct answer?
The variable x is required to be an integer and must satisfy both 0 < x and x < 1. There is no integer strictly between 0 and 1; numbers such as 0.5 are real numbers, not integers. The endpoints are also excluded by the strict inequalities. Therefore, the set contains no element and is the empty set, ∅.
Which subject and chapter does this question cover?
This is a Class 10 Mathematics question. Chapter: Sets. Topic: Sets and their representations.
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