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Define a binary opertion ** on the set {...

Define a binary opertion `**` on the set `{0,1,2,3,4,5}` as
`a**b ={{:(a+b"," , if a + b lt 6), ( a + b -6, if a + b ge 6):}`
Show that zero is the identity for this operation and each element `ane 0` of the set is invertible with `6-a` being the inverse of a.

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