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If \(P\) is a set of integers and 3 is in \(P,\) is every positive multiple of 3 in \(P?\)

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by Vincen » Wed Jul 22, 2020 10:57 am

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If \(P\) is a set of integers and 3 is in \(P,\) is every positive multiple of 3 in \(P?\)

(1) For any integer in \(P,\) the sum of 3 and that integer is also in \(P.\)

(2) For any integer in \(P,\) that integer minus 3 is also in \(P.\)

[spoiler]OA=A[/spoiler]

Source: Princeton Review
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