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Q. 1 Determine whether or not each of the definition of ∗ given below gives a binary
operation. In the event that ∗ is not a binary operation, give justification for this.
(ii) On , define ∗ by
Answers (1)
(ii) On , define ∗ by
We can observe that for ,there is a unique element ab in
.
This means * carries each pair to a unique element
in
.
Therefore,* is a binary operation.
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