3. Let a, b, and c be integers. Prove or disprove that alb implies ac bo aclbc

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please be as thorough as you can. 

3. Let a, b, and c be integers. Prove or
disprove that alb implies aclbc.
Transcribed Image Text:3. Let a, b, and c be integers. Prove or disprove that alb implies aclbc.
Expert Solution
Step 1

since a/b therefore, there exists an integer k such that b=ak

now divide both sides by c

therefore, 

bc=ack for some integer k, 

using the definition of division, ac/bc

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