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Define an operation * on Q as follows: a...

Define an operation * on Q as follows: `a * b =((a+b)/(2)), a, b in Q`. Examine the closure, communative, and associative properties satisfied by `* on Q.`

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The correct Answer is:
(i) closure property is satisfied, commutative property is satisfied., associate property is not satisfied, (ii) the identity element does not exist and so inverse does not exist.
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