(1) \(\color{blue}\textbf{A}^{\text{c}}\)
The complement of A
(2) \(\color{blue}\textbf{A} \cap \textbf{B}\)
The intersect of A and B
(3) \(\color{blue}\textbf{A} \cup \textbf{B}\)
The union of A and B
(4) \(\color{blue}\textbf{A} \cap \textbf{B}^{\text{c}} \text{ or can be written } \textbf{A} \:-\: \textbf{B}\)
Just A
A and not B
(5) \(\color{blue}\textbf{B} \cap \textbf{A}^{\text{c}} \text{ or can be written } \textbf{B} \:-\: \textbf{A}\)
Just B
B and not A
(6) \(\color{blue} (\textbf{A} \cap \textbf{B}^{\text{c}}) \cup (\textbf{B} \cap \textbf{A}^{\text{c}}) \text{ or can be written }\)
\(\:\:\: \color{blue} (\textbf{A} \:-\: \textbf{B}) \cup (\textbf{B} \:-\: \textbf{A})\)
(7) \(\color{blue} (\textbf{A} \cap \textbf{B})^{\text{c}}\)
(8) \(\color{blue} (\textbf{A} \cup \textbf{B})^{\text{c}}\)
(9) \(\color{blue} (\textbf{A} \cup \textbf{B})^{\text{c}} \cup (\textbf{A} \cap \textbf{B})\)
(10) \(\color{blue} \textbf{A} \cap \textbf{B} \cap \textbf{C}\)
(11) \(\color{blue} \textbf{A} \cup \textbf{B} \cup \textbf{C}\)
(12) \(\color{blue} \textbf{B} \cap \textbf{A}^{\text{c}} \cap \textbf{C}^{\text{c}}\)
(13) \(\color{blue} (\textbf{A} \cap \textbf{B}\cap \textbf{C}^{\text{c}}) \cup (\textbf{A} \cap \textbf{B}^{\text{c}}\cap \textbf{C}) \cup (\textbf{A}^{\text{c}} \cap \textbf{B}\cap \textbf{C})\)
(14) \(\color{blue} (\textbf{A} \cap \textbf{B}) \cup (\textbf{A} \cap \textbf{C}) \cup (\textbf{B} \cap \textbf{C}) \)
