Page 31 - 091math-wb-w3-(sets)

WORKBOOK

Properties of the Complement of a set:

De Morgan’s laws are
1)   ..... , E  ..... named after Augustus

De Morgan (1806–

A
2)    ..... 1871)


3) A A  ..... , A A  .....
4) A  B  A ..... B If you are interested in De Morgan’s life visit:

https://www.youtube.com/watch?v=uM-4NpV6irA


A   B  A  B 

5)  De Morgan s ' Laws


A   B  A  B   

Example 36: Univeral set U={1, 2, 3,…, 9} and the sets A={2, 3, 5, 7} and B={1, 2, 3, 8} are given.

a) Write A \ B in listed form.

/
b) Write AB in listed form.

/
Result: A \ B = A B

Example 37: A, B and C are subsets of universal set U.

() + () =
and n(C)=7. Find n (C ).
′
′
( ) + ( ) = Remember!!!
′
∪ =

31 091math-wb-w3-(sets)