Demonstrate DeMorgan’s Laws using a Venn diagram

PART I : Demonstrate DeMorgan's Laws using a Venn diagram

1.Draw a Venn diagram showing the elements of sets A, B, and the universe for all 4 regions.
2.Draw a second diagram showing only the elements of the complement of set A.
3.Draw a third diagram showing only the elements of the complement of set B.
4.Draw a fourth diagram showing the union of steps 2 and 3 for the first DeMorgan's law or the intersection of steps 2 and 3 for the second DeMorgan's law.
5.Draw a fifth diagram showing the elements of the intersection of sets A and B for the first DeMorgan's law or the union of sets A and B for the second DeMorgan's law.
6.Finally, draw the last diagram showing the complement of step 5. Compare the results from step 4 against those in step 6 to prove both DeMorgan's laws. In the absence of data elements, you can use 4 different colors to clearly indicate the regions of the universe and follow all of the steps. 

PART II : Define 2 propositions (simple statements that can be either true or false). Give a real-world example of 2 propostions that r and s can represent. Call them r and s. Create a truth table that shows all values of the following:

r

s
-r
-s
r^s
-rvs
r^-s
Interpret the columns of the truth table for those propostions and the values in the table based on the operations and the values of r and s.