Question: 5. For sets A, B, and C, prove that (A B) C = A (BUC). A Venn diagram, though help- ful, is not a

 5. For sets A, B, and C, prove that (A \\

5. For sets A, B, and C, prove that (A \\ B) \\C = A\\ (BUC). A Venn diagram, though help- ful, is not a proof, so give a verbal argument using set con- tainments, or use set equiva- lences, or translate to formal logic. If you translate to formal logic, prove the logical equiva- lence you use. 6. Illustrate the truth of Problem 5 by identifying the LHS and RHS of the equality when A = Z, B - 2Z, and C = N. In par- ticular, identify the sets A \\ B, and BUC, and then the LHS and RHS

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