Math 199 (Assignments)

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1. Finish our proof from class that $(A-B)\times C = (A\times C) - (B\times C)$
2. Suppose $A$ and $B$ are sets. Show that $A\times B=\emptyset$ if, and only if, $A=\emptyset$ or $B=\emptyset$.
3. Suppose $A$, $B$, $C$, and $D$ are sets. Show that if $A\subseteq C$ and $B\subseteq D$ then $A\times B\subseteq C\times D$.

Math 199 (Fall 2019) web pages Created: 18 Oct 2019 Last modified: 18 Oct 2019 at 7:08 PM Comments to: dpvc@union.edu

Assignments