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Question Number 63499 by Rio Michael last updated on 04/Jul/19

given that a∣b, show that −a∣b.

giventhata∣b,showthat−a∣b.

Answered by MJS last updated on 04/Jul/19

a∣b ⇒ (b/a)=c with c∈Z ⇒ −(b/a)=(−1)(b/a)=(−1)c=−c c∈Z ⇔ −c∈Z

a∣b⇒ba=cwithc∈Z⇒−ba=(−1)ba=(−1)c=−cc∈Z⇔−c∈Z

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