Self-study
Some planning committee members—those representing the construction industry—have significant financial interests in the committee's decisions. ██ ███ ███ ██ ██ ███ ████████ █████████ █████ ██ ███ ████████ ████████ ████ ██ ████ ████ ██████
Summary
Some planning committee members have sig. financial interests in the decisions. (The members who represent the construction industry have sig. financial interests in the decisions.)
Anyone on the planning committee does not live in the suburbs.
Some planning committee members work in the suburbs.
Notable Valid Inferences
Some people with significant financial interests do not live in the suburbs.
Some people who represent the construction industry do not live in the suburbs.
(If you know All A is B, and Some A is C, you can conclude Some B is C.)
18.
If the statements above are █████ █████ ███ ██ ███ █████████ ████ ████ ██ █████
a
No persons with ███████████ █████████ █████████ ██ ███ ████████ ███████████ █████████ ███ ███ ██ ███ ████████████ █████████
Could be false. We don’t know that everyone with sig. financial interests is in the construction industry. We only know that the PC members who represent the construction industry have sig. financial interests. Could be many people with sig. fin. int. outside of construction.
b
No person who ███ █ ███████████ █████████ ████████ ██ ███ ████████ ███████████ █████████ █████ ██ ███ ████████
Could be false. This goes too far. We don’t know there are “no” people who have sig. financial interests who live in the suburbs. We know there are SOME who have sig. financial interests who don’t live in the suburbs.
c
Some persons with ███████████ █████████ █████████ ██ ███ ████████ ███████████ █████████ ████ ██ ███ ████████
Could be false. Although we know some PC members have significant financial interests, and some PC members work in the suburbs, these members don’t have to overlap. No inference from 2 “some” statements.
d
Some planning committee ███████ ███ █████████ ███ ████████████ ████████ ██ ███ ████ ██ ███ ████████
Could be false. We don’t know anything about anyone who does NOT work in the suburbs. We only know that some PC members work in the suburbs.
e
Some persons with ███████████ █████████ █████████ ██ ███ ████████ ███████████ █████████ ██ ███ ████ ██ ███ ████████
Must be true. All PC members do not live in the suburbs. Some PC members have sig. financial interests. So, some people who don’t live in the suburbs have sig. financial interests. (And you can reverse this — some people with sig. financial interests don’t live in the suburbs.)