Question #145985

Let S be the set of all real numbers except

—1. Define an operation + on S by

x+y=x+y+xy; x,y belongs to S. Show that

< S, +> is an abelian group. Find a solution

of the equation 1+x = 2 in S.

—1. Define an operation + on S by

x+y=x+y+xy; x,y belongs to S. Show that

< S, +> is an abelian group. Find a solution

of the equation 1+x = 2 in S.

Expert's answer

1.

2.

3.

4.

5.

is an abelian group.

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