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Elements Of Modern Algebra

8th Edition
Gilbert + 2 others
ISBN: 9781285463230
BuyFindarrow_forward

Elements Of Modern Algebra

8th Edition
Gilbert + 2 others
ISBN: 9781285463230
Textbook Problem

Prove that if a and b are integers such that b 0 and a | b , then | a | | b | .

To determine

To prove: If a and b are integers, such that b0 and a|b, then |a||b|.

Explanation

Given information:

a and b are integers such that b0 and a|b.

Formula used:

Divisor:

Let a,b be any integers, a is divisor of b, write as a|b if there is an integer c such that b=ac.

Proof:

Let a and b are integers such that b0 and a|b.

Then, there exists an integer x such that, b=ax

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