Question: Abstract Algebra Prove #1 (b) using quantified statements. Show ALL steps and give a long proof (Start steps with Let... or Suppose...) 1. Let us

Abstract Algebra

Prove #1 (b) using quantified statements. Show ALL steps and give a long proof (Start steps with "Let..." or "Suppose...")

a long proof (Start steps with "Let..." or "Suppose...") 1. Let us

1. Let us consider (5Z, +) (the set of all multiples of 5 with usual addi- tion).(b) Show that (5E, +) is abeliau, that is, + 011 525 is commutative, that is, [V211V22 E 5745: 21+ 2:2 2 22 + 21]. Hint: You may use the fact + 011 Z is commutative

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