Question: A U BC AU BUC. Step 1 Assume X E A U B. x is an element of both A and B. Step 2 Therefore,

A U BC AU BUC. Step 1 Assume X E A U B. x is an element of both A and B. Step 2 Therefore, x is in AU BUC by definition of union. Step 3 Assume X E A U B. Then x E A or X E B Step 4 by definition of union. Therefore, x is in A or in B or in C by the addition rule

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