We have learned that for universal set $U$ and for set $A$ belonging to $U$,
$A^c=U-A$ but what about for the empty set?
[Math] the complement of empty set
elementary-set-theory
elementary-set-theory
We have learned that for universal set $U$ and for set $A$ belonging to $U$,
$A^c=U-A$ but what about for the empty set?
Best Answer
The complement of the empty set would be $U$. Using your formula:
$\emptyset^C = U - \emptyset = U$
Also, the complement of $U$ is the empty set: $U^C = U - U = \emptyset$