Answer :

It is given that On R, * – {– 1}, define a b =

ϵ R for b ≠ -1, so the operation * is binary.


We can see that 1 * 2 = and 2 * 1=


1 * 2 ≠ 2 * 1; where 1,2 ϵ R – {-1}


the operation * is not commutative.


Now, we can observed that


(1 * 2) * 3 =


1 * (2 * 3) = 1 *


(1 * 2) * 3 ≠ 1 * (2 * 3), where 1,2,3 ϵ R * – {– 1}


The operation * is not associative.


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