Show that S = {x R I 0 < x < 1} has the same cardinality
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Show that S = {x ∈ R I 0 < x < 1} has the same cardinality as R
For any set A, we denote by P(A) the collection of all subsets of A. For example, if A = {a, b, c, d}, then {a, b, d} ∈ P(A). The set P(A) is the power set of A.
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