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Magazine Problem 6
Suppose \(A, B\) and \(C\) are sets. Prove that if \(A \subseteq B\), then \(A-C \subseteq B-C\).
Problem 8
If \(A, B\) and \(C\) are sets, then \(A \cup(B \cap C)=(A \cup B) \cap(A \cup C)\).
Problem 16
If \(A, B\) and \(C\) are sets, then \(A \times(B \cup C)=(A \times B) \cup(A \times C)\).
Problem 21
Suppose \(A\) and \(B\) are sets. Prove \(A \subseteq B\) if and only if \(A-B=\varnothing\).
Problem 28
Prove that \(\\{12 a+25 b: a, b \in \mathbb{Z}\\}=\mathbb{Z}\).
