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Mathematics · Binary operations

MathematicsBinary operationsWAEC

The operation x ∗ y = (x + y)/2 is defined on the real numbers. Which statement is true?

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Answer: A. It is commutative but not associative

x ∗ y = y ∗ x, but for example (2 ∗ 4) ∗ 6 = 4.5 while 2 ∗ (4 ∗ 6) = 3.5.

An AdmitMe practice question, written for the WAEC syllabus. Not an official past question.

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