A thing that wouldn't be necessary condition for the growth of an empire would be internal revolutions and revolts - D.
This option, compared to the others, actually underminens the possibility of success within one empire after some time as undermining authority and creating revolutions doesn't help when creating an empire.
For the education system, this goal is toeducate individuals and for the health system it is to improve health (both the average level and its distribution across individuals). In addition to the defining goal for each system of society, there are two goals common to all systems.
