Show that these three statements are equivalent, where a and b are real numbers: (i)a < b (ii) The average of a and b is greater than a. (iii) The average of a and b is less than b.

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Show that these three statements are equivalent, where a and b are real numbers: (i)a < b (ii) The average of a and b is greater than a. (iii) The average of a and b is less than b.

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Question ID: mtid-5-stid-8-sqid-3717-qpid-2416