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given-that-a-b-show-that-a-b-




Question Number 63499 by Rio Michael last updated on 04/Jul/19
given that   a∣b, show that −a∣b.
giventhatab,showthatab.
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
abba=cwithcZba=(1)ba=(1)c=ccZcZ

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