Question: 1) Use the set with the given operation to abstractly test the given axiom. These both fail, give conditions why (ex. only true if, fails

1) Use the set with the given operation to abstractly test the given axiom. These both fail, give conditions why (ex. only true if, fails unless...). 12 points total. * *You need to be able to do ANY of the other 8 axioms (2-5, 7-10), not just ax. 7 like below* * a) R' with the operation c(x y) = (x+ c, y, + c) Axiom 7) c(u + v) = cu + cv b) R' with the operation (x1 , ,) + (x2 . V2) = (x, + x2) , V,yz). Axiom 7) c(u + v) = cu + cv

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