Question: Define the binary operations and on Z by x y = x + y - 7,x y = x + y

Define the binary operations ⊕ and ⊙ on Z by x ⊕ y = x + y - 7,x ⊙ y = x + y - 3xy, for all x, y ∈ Z. Explain why (Z, ⊕, ⊙) is not a ring

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