MathDB
Proper Subsets

Source: 1996 National High School Mathematics League, Exam One, Problem 7

March 3, 2020

Problem Statement

The number of proper subsets of the set {x∣−1≤log⁡1x10<−12,x∈Z≥0}\left\{x|-1\leq\log_{\frac{1}{x}}10<-\frac{1}{2},x\in\mathbb{Z}_{\geq0}\right\} is________.
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