Question

Consider the binary operation ∗ on the set positive real numbers

defined by ∗ =/4

(a) Prove that ∗ is commutative and associative.

(b) Find the identity element of ∗ on .

(c) Find the inverse of 4.

10. Match the following.
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Answer 1

Answer:

The inverse of 4 is 1/4.

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Answer 2

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