Odpowiedź:
Szczegółowe wyjaśnienie:
[tex]A=\{ 5,6,7,8,9,10\}\\B=\{0,2,4,6,8,10,12,14,16,18,20\}\\C=\{5,10,15,20,25,...,50 \}\\D=\{10,20,30,40,...,90,100\}\\\\A\backslash C=\{6,7,8,9 \}\\D \cap B=\{10,20 \}\\A \cup C=\{5,6,7,8,9,10,15,20,25,30,...,45,50 \}\\C \cup D=\{5,10,15,20,25,30,35,40,45,50,60,70,80,90,100 \}\\C \cap D =\{10,20,30,40,50 \}\\D\backslash C=\{60,70,80,90,100\}\\A\cap B\cap C=\{ 10\}\\(A\cap B)\cup C=\{6,8,10\} \cup C=\{5,6,8,10,15,20,25,...,50 \}\\A\cup (B \cap C)=A \cup \{10,20 \}=\{5,6,7,8,9,10,20\}\\[/tex]
[tex](A\backslash D) \cup (C \cap B)=\{5,6,7,8,9 \}\cup \{10,20 \}=\{5,6,7,8,9,10,20\}\\(C\cap D)\backslash (A\cup B)=\{10,20,30,40,50 \}\backslash \{0,2,4,5,6,7,8,9,10,12,14,16,18,20\}=\{30,40,50 \}\\(D\backslash C)\cap (B\backslash A)=\{60,70,80,90,100\}\cap \{0,2,4,12,14,16,18,20 \}=\emptyset[/tex]
