Determine whether each of the following statements isTrue or False. If True, write a proof. If False, exhibit acounterexample.
1) If m, n are arbitrary positive integers, then anysystem of form
x ≡ a (mod m)
x ≡ b (mod n)
has a solution.
2) If m, n are arbitrary positive integers and thesystem
    has a solution, then thesolution is unique modulo mn.
Modern Abstract Algebra
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