Math 199 (Assignments)

1. [Not to be turned in]
   1. Prove that, for all sets $A$ and $B$, if $A\cup B\subseteq B$ then $A\subseteq B$.
   2. Prove that, for all sets $A$ and $B$, if $A\subseteq B$ then $A\cup B\subseteq B$.

2. [To turn in on Friday]
   
   Prove or disprove:
   1. For all sets $A$, $B$, and $C$, if $C\subseteq A\cup B$ then $C\subseteq A$ or $C\subseteq B$.
   2. For all sets $A$, $B$, and $C$, if $C\subseteq A\cap B$ then $C\subseteq A$ and $C\subseteq B$.

Math 199 (Fall 2019) web pages Created: 7 Oct 2019 Last modified: 13 Oct 2019 at 3:23 PM Comments to: dpvc@union.edu

Assignments