Let v=(xER|xz0} and define addition on y by xey=xy+1 and scalar multiplication by aox=a?x Which of the following statements is true? for all X,yEV and aER: OA For all x,yEV and a ER, ao (x@y)= aOx aoy. OB. For all and a ER AOXEV XEV OC. Every element in V has an inverse in V. OD. All the choices in the list are correct.

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A:

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