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\headers{Math 303}{Quiz 3}{Mon. Sep. 14, 2026}

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\noindent
\textbf{Directions:} Solve the following problems.  Give supporting work/justification where appropriate.

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\item\ppoints{6}{1} Let the universe $U$ be $\{-3,-2,-1,0,1,2,3\}$.  Let $A = \{-1,0,1\}$, $B=\{1,2\}$, and $C=\{-1,2,3\}$.  Find the following sets.

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	\item $B \cap A$
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	\item $A - B$
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	\item $B \cup \comp{A}$
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	\item $(B\times C) - (C\times B)$
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	\item $\PS(A) - \PS(B \cup C)$
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	\item $\PS(A) - (\PS(B) \cup \PS(C))$
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\item\points{1} Is it true that $(A-B)\times (C-D)$ equals $(A\times C) - (B\times D)$ for all sets $A,B,C,D$?  Explain why or why not.
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\item\ppoints{3}{1} Let $A=\{(x,y)\in\RR^2\st y\ge x\}$ and $B = \{(x,y)\in\RR^2\st x^2 + y^2 \le 1\}$.  Sketch the following sets in the plane, using solid lines to represent boundaries that are in the set, and dashed lines/open circles to represent boundaries that are not in the set.
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\item $A$
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\item $B$
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\item $B-A$
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