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Let U={1,2,3,4,5},A={2,3,4},B={1,2,3}, and C={2,4,5}. (a) Find A(BC). (b) Find (AB)C. (c) State a conjecture. Use the results in parts (a) and (b) to answer this

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Let U={1,2,3,4,5},A={2,3,4},B={1,2,3}, and C={2,4,5}. (a) Find A(BC). (b) Find (AB)C. (c) State a conjecture. Use the results in parts (a) and (b) to answer this part. (a) Select the correct choice below and, if necessary, fill in the answer box to complete your choice. A. A(BC)=. (Use a comma to separate answers as needed.) B. A(BC)= (b) Select the correct choice below and, if necessary, fill in the answer box to complete your choice. A. (AB)C=. (Use a comma to separate answers as needed.) B. (AB)C= (c) Make a conjecture. A. For any sets A,B, and C,A(BC)=(AB)C. B. For any sets A,B, and C. (AB)C= when A(BC)=. C. For any sets A,B, and C,A(BC)=(AB)C. D. For any sets A,B, and C,A(BC)= when (AB)C=. E. For any sets A,B, and C,A(BC)=(AB)C=

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