MathDB
Chisinau MO p136 1977 VIII property of R as union of non-empty sets A, B

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March 17, 2021
algebraSubsetSubsets

Problem Statement

We represent the number line RR as the union of two non-empty sets A,BA, B different from RR. Prove that one of the sets A,BA, B does not have the following property: the difference of any elements of the set belongs to the same set.