Consider the binary operation **:R xxR t...

Consider the binary operation `:R xxR to R and o:R xx R to R` defined as `ab = |a-b| and a o b = a `. For all `a , b in R`. Show that * is commutative but not associative, .o. is associative but not commutative.

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Consider the binary operation `**:R xxR to R and o:R xx R to R` defined as `a**b = |a-b| and a o b = a `. For all `a , b in R`. Show that * is commutative but not associative, .o. is associative but not commutative.