# C\(a\b)=(c/a)u(c\b)

• November 12th 2010, 10:27 AM
Garas
C\(a\b)=(c/a)u(c\b)
Is this equality true and if it is how to prove it. C\(A\B)=(C\A)U(C\B).
• November 12th 2010, 10:42 AM
Unknown008
Is this it?

$C(A|B) =(C|A) \cup (C|B)$

?
• November 12th 2010, 10:51 AM
Garas
A\B={ x∈A and x∉B }
• November 12th 2010, 11:47 AM
Plato
It is not true.

$C\setminus(A\setminus B)=C\cap(A^c\cup B)=(C\cap A^c)\cup (C\cap B)$

That is $C\setminus(A\setminus B)\not=(C\setminus A)\cup (C\setminus B)$