  We use the approximate SU(3) flavor symmetry of the strong interaction to put
bounds on the CP asymmetries in $b \to s$ decays of the $B^0_d$ and $B^+_u$
mesons. We extend the work of \cite{Grossman:2003qp} to include all relevant $B
\to PP$, $B \to VP$ and $B \to VV$ decays. We obtain the strongest constraints
from current data, and provide a list of SU(3) relations which can be used when
future data is obtained.
