Let * : Q xx Q rarr Q be defined a as a ...

Let * : `Q xx Q rarr Q` be defined a as a * b = 1 + ab for all a, b `in` Q. Show that * is commutative but not associative.

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Consider the binary operations * : R xx R 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.

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PRADEEP PUBLICATION-RELATIONS AND FUNCTIONS-EXERCISE

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