Refer to the above example:
State it as follows: Let p = Pierre is older than 30,
q = Pierre is dressed like a gentleman and
r = Pierre brings orange juice.
then the sentence 'If Pierre is older than 30 AND NOT dressed like a gentleman THEN neither he needs to bring orange juice NOR dress like a gentleman.'
can be written as
(p-->(¬q))-->((¬r)^(¬q))
(¬q ^ p) --> (r v q) ito the given sentences:
'If Pierre is NOT dressed like a gentleman AND he is older than 30, THEN he brings orange juice OR is dressed like a gentleman.
Refer to E&C p 27: (r or q) can be described as (either r or q). NOT(either r or q) is the same as saying (neither r nor q) which is the same as saying (not r and not q), i.e. (¬r)^(¬q) which is depicted in the first example. However in the requested example (¬q ^ p) --> (r v q), r v q only means r or q (i.e. either r or q). We prefer to only use r OR q - see tut 102.