Question

Prove or disprove: Let a and b be integers. If a divides b and a divides c, then a divides b-c.

Step 1

Let *a*, *b*, and *c* are integers. Integer *a* is a factor of *b* and *c*.

Step 2

Let m and n are two integers. We can write the above relation as,

Step 3

So, the integer *b-c...*

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