question archive Define a relation ~ on Q by x ~ y if and only if y = 2n x for some n E Z

Define a relation ~ on Q by x ~ y if and only if y = 2n x for some n E Z

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Define a relation ~ on Q by x ~ y if and only if y = 2n x for some n E Z. (a) Prove that ~ is an equivalence
relation on Q. (b) Give an explicit description of the set [1]~ using implied list notation.

 

 

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