Final answer:
The correct symbolic representation of the logical statement about Norwegian's entertainment improvement is N > (~D . ~W),
which corresponds to option b, meaning that Norwegian improves entertainment only if Disney does not promote family cruises and Windstar does not diversify its activities.
Step-by-step explanation:
The question involves the translation of a logical statement related to Norwegian's improvements in their entertainment offerings into symbolic form. The correct symbolic representation is N > (~D · ~W), which corresponds to choice b.
This means that for Norwegian to improve its entertainment (N), it is necessary that both Disney does not promote family cruises (~D) and Windstar does not diversify its activities (~W).
The symbol ">" stands for "implies," and the · stands for "and." So the statement can be read as "If both Disney does not promote family cruises and Windstar does not diversify its activities, then Norwegian improves its entertainment."
The correct statement that represents the given condition “Norwegian improves its entertainment only if both Disney does not promote family cruises and Windstar does not diversify its activities” is (b) N > (~D . ~W).
In this statement, N represents “Norwegian improves its entertainment,” D represents “Disney promotes family cruises,” and W represents “Windstar diversifies its activities.” The symbol > represents the conditional “only if,” and the symbol ~ represents the negation or not.