5. (a) Show that inverses in groups are unique. That is, if xoy = yox = e...

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5.

(a) Show that inverses in groups are unique. That is, if xoy = yox = e and xoy' =

y'ox =

e, then y = y'. Make sure that you indicate clearly which properties of groups your argument uses and at which points.

(b) Use the previous item to show (2.18).

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