Question
Let$$\begin{array}{l}U=\{1,2,3,4,5,6,7,8,9,10\} \\A=\{1,3,5,7,9\} \\B=\{1,2,4,7,8\} \\C=\{2,4,6,8\}\end{array}$$Verify each equation by direct computation.a. $A \cup(B \cup C)=(A \cup B) \cup C$b. $A \cap(B \cap C)=(A \cap B) \cap C$
Step 1
Given \( B = \{1, 2, 4, 7, 8\} \) and \( C = \{2, 4, 6, 8\} \), we find the union by combining all unique elements from both sets. \[ B \cup C = \{1, 2, 4, 7, 8\} \cup \{2, 4, 6, 8\} = \{1, 2, 4, 6, 7, 8\} \] Show more…
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