Question

Дискретная математика
Помогите решить 2 задания

Answer 1

$((B\oplus C)\backslash(B\backslash C))\bigcap B=(((B\bigcup C)\backslash(B\bigcap C) )\backslash(B\backslash C))\bigcap B=\\ ((B\bigcup C)\backslash( (B\bigcap C)\bigcup(B\backslash C) ))\bigcap B=((B\bigcup C)\backslash B)\bigcap B=(C\backslash B)\bigcap B=\o$

-------------------------------------------------------------------------------------$\overline{(\overline{C}\backslash(C\oplus B))\bigcup C}=\overline{(\overline{C}\backslash((B\bigcup C)\backslash(B\bigcap C)))\bigcup C}=\overline{( (\overline{C}\backslash(B\bigcup C))\bigcup(\overline{C} \bigcap B \bigcap C ))\bigcup C}=\overline{( (\overline{C}\backslash(B\bigcup C))\bigcup \o)\bigcup C}=\overline{( (\overline{C}\backslash B)\backslash C)\bigcup C}=\overline{( \overline{C}\backslash B)\bigcup C}=\overline{( \overline{C}\backslash B)}\bigcap \overline{C}=$$=\overline{\overline{C\bigcup B}}\bigcap \overline{C}=(C\bigcup B)\bigcap \overline{C}=(C\bigcap \overline{C})\bigcup (B\bigcap \overline{C})=\o\bigcup (B\bigcap \overline{C})=B\bigcap \overline{C}=B\backslash C$