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Please explain to me the correct answers for each part. I thought the cartesian product of the same set is always true? Thank you! Question

Please explain to me the correct answers for each part. I thought the cartesian product of the same set is always true? Thank you!

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Question 1. (4 points) You are given sets A, B, C, and D. Given that D={x,y,z}. Mark each following statement TRUE or FALSE: a. FF(AB)C=A(BC) b. T If AB=BC, then A=C c. T{x,y}DD d. (z,z)DD1

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