Textbook Problem

 Consider the Venn diagram below.

1. Illustrate one of the distributive laws by shading in the region corresponding to $A\cup \left(B\cap C\right)$ on one copy of the diagram and $\left(A\cup B)\cap (A\cup C\right)$ on another.
2. Illustrate the other distributive law by shading in the region corresponding to $A\cup \left(B\cap C\right)$ on one copy of the diagram and $\left(A\cup B)\cap (A\cup C\right)$ on another.
3. Illustrate one of De Morgan's laws by shading In the region corresponding to ${\left(A\cup B\right)}^c$ on one copy of the diagram and $A^c\cap B^c$ on the other. (Leave the set C out of your diagrams.)
4. Illustrate the other De Morgan's law by shad- ing in the region corresponding to on $A^c\cap B^c$ one copy of the diagram and $A^c\cap B^c$ on the other. (Leave the set C out of your diagrams.)