Answer :
Answer:
a) [tex]A \cap B = \{\phi\}[/tex]
b)[tex]\{0, 2, 3, 4, 5,6, 7, 8\}[/tex]
c)[tex]\{0, 2, 3, 4, 5,6, 7, 8\}[/tex]
Step-by-step explanation:
We are given the following information:
The universal set is : U = {0, 1, 2, 3, 4, 5, 6, 7, 8, 9}
A = {0, 2, 4, 6, 8}
B = {1, 3, 5, 7, 9}
C = {2, 3, 5, 7}
a) [tex]A \cap B = \{\phi\}[/tex]
b)[tex] C/B = C \cap \overline{B} = \{2, 3, 5, 7\} \cap \{0, 2, 4, 6, 8\} = \{2\}[/tex]
c)
[tex]A \cup (B \cap C) = \{0, 2, 4, 6, 8\} \cup (\{1, 3, 5, 7, 9\} \cap \{2, 3, 5, 7\})\\=\{0, 2, 4, 6, 8\} \cup \{3, 5, 7\}\\= \{0, 2, 3, 4, 5,6, 7, 8\}[/tex]