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


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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