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  3. let z = [(a, b)] be an integer. define [z] to be b

Let z = [(a, b)] be an integer. Define [z] to be b-a if b>a,...

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Algebra

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Let z = [(a, b)] be an integer. Define [z] to be b-a if b>a, a-b if a> b, and 0 otherwise. Prove that this definition is unambiguous.Prove that if z and y are integers and z> [y] then there is no nonzero integer z such that x.z = y.

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