12. Consider the binary operations and defined as and . Show that * is commutative but not associative, o is associative but not commutative. Further, show that . [If it is so, we say that the operation * distributes over the operation o]. Does o distribute over * ? Justify your answer.
12. Consider the binary operations and defined as and . Show that * is commutative but not associative, o is associative but not commutative. Further, show that . [If it is so, we say that the operation * distributes over the operation o]. Does o distribute over * ? Justify your answer.
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