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Let ** and @ be two binary operations on...

Let `**` and `@` be two binary operations on `RR` defined as,
`a**b=|a-b|anda@b=a` for all `a,binRR`.
Examine the commutativity and associativity of `**` and `@` on `RR`. Show also that `**` is distributative over `@` but `@` is not distributive over `**`.

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