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reb659
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Homework Statement
I reduced a much harder problem to the following:
Prove that if abs(a-b) is divisible by k, and if abs(b-c) is divisible by k, then abs(a-c) is divisible by k.
Homework Equations
none really.
The Attempt at a Solution
I tried setting abs(a-b)/k = n and abs(b-c)/k = m where m and n are integers and trying to construct abs(a-c) from that but to no avail.
By the definition of absolute value, I know abs(x) = x when x>0 and =-x when x<0. I think trying all of the four possible cases might work, but would there be an easier way?
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