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Let \(A = \{2, 4, 6, 8\}\text{.}\) Suppose \(B\) is a set with \(|B| = 5\text{.}\)

  1. What are the smallest and largest possible values of \(|A \cup B|\text{?}\) Explain.

  2. What are the smallest and largest possible values of \(|A \cap B|\text{?}\) Explain.

  3. What are the smallest and largest possible values of \(|A \times B|\text{?}\) Explain.

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