MAE 106 (2018) – Assignment 5

Draw the Venn diagram for three sets $A$ , $B$ , and $C$ that are mutually exclusive.
Determine whether the following statements are true or false. Use a Venn diagram to aid you in answering.
- If $A \cup B = \varnothing$ , then $A = \varnothing$ , and $B = \varnothing$ .
- $(A \cup A') = \varnothing$
- If $A \subseteq B$ , then $A \cap B = A$ .
- If $A \subset B$ and $B \subset C$ , then $A \subset C$ .
- If all cadets are students, and all students are academics, then all cadets are academics.
Kohar 3.4.3, 3.4.5, 3.4.6, 3.4.9, 3.4.10, 3.4.11, 3.4.12, 3.4.13, 3.7.3.
Kohar 3.5.3, 3.5.4
Using the rules of set algebra show the following: $A' \cap B' \cap C' = (A \cup B \cup C)'$