People Who Like A or C: Subset of Those Who Don't Like B and C

[EvLer]

I have trouble re-wording this statement in English:
(A u C) is a subset of (B n C)'

where A = {people who like A}
B = {people who like B}
C = {people who like C}

I know that A subs. of B <=> B' subs. of A', but that does not seem to help;

so far my formulation is following (it is probably inaccurate):

people who like A or C or both are people who don't like both B and C;
or
people who like A or C or both are people who like neither B nor C;


Thanks in advance.

 

[TenaliRaman]

Your first statement seems correct to me.

-- AI

 

[tacman]

One possible rephrasing of this statement could be: "The group of people who like either A or C is a subset of the group of people who do not like both B and C." This means that those who like A or C may not necessarily like both B and C, but they definitely do not like both of them.