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Use the 10 properties of the vector spaces to solve the following statement The set of...

Use the 10 properties of the vector spaces to solve the following statement

The set of all the pairs of real numbers (x, y) with the operations
(x, y) + (x', y') = (x+x'+1,y + y' + 1) and k(x,y) =(kx,ky)

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