$A \setminus B \cup C = A \setminus (B \cup C)$?

138 Views Asked by At

$A \setminus B \cup C$ or $A \setminus (B \cup C)$?

Sorry as this is a very soft question, but I couldn't find the answer anywhere. Are these two things generally considered the same?

1

There are 1 best solutions below

2
On

If you mean $(A\setminus B)\cup C$ by $A\setminus B\cup C$, then no they aren't. $(A\setminus B)\cup C$ will contain everything in $C$, but $A\setminus (B\cup C)$ contains nothing from $C$ (since it only contains things which are neither in $B$ nor in $C$).