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Question
Which of the following sets are finite and which are infinite?
{x ∈ R : 0 < x < 1}.
Solution
In this set, x ∈ R. We know real numbers include all numbers, i.e., decimal numbers, rational numbers and irrational numbers.
So, there would be infinite elements in the set {x ∈ R : 0 < x < 1}. Therefore, it is an infinite set.
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