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let g=(x e R:x>1) be the set of all real numbers greater than 1. for X,Y e G, define x * y=xy - x-y +2. 1. show that the operation * is closed on G. 2. show that the associative law holds for *. 3....

let g=(x e R:x>1) be the set of all real numbers greater than 1. for X,Y e G, define x * y=xy - x-y +2.

1. show that the operation * is closed on G.

2. show that the associative law holds for *.

3.show that 2 is the identity element for the operation *.

4. show for each element a e G there exists an inverse a-1 e G.

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let g=(x e R:x>1) be the set of all real numbers greater than 1. for X,Y e G, define x * y=xy - x-y +2. 1. show that the operation * is closed on G. 2. show that the associative law holds for *. 3....
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