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Question

Let * be a binary operation defined on $\mathbb{R}$ by $a * b = \frac{a + b}{4}$, where $a, b \in \mathbb{R}$. Then the operation * is:

Commutative and Associative

Commutative but not Associative

Associative but not Commutative

Neither Associative nor Commutative

Solution

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