a) A directory contains a set of large files, L = {f1, f2, f3}, and set of data files, D = {d1, f2, a1000}, and a set of text files T = {t1, t2, f1, f2}

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a) A directory contains a set of large files, L = {f1, f2, f3}, and set of data files, D = {d1, f2, a1000}, and a set of text files T = {t1, t2, f1, f2}.

i. Give a set expression for the set of large data files, and write the set out.

ii. Repeat for the set of text files which are not large.

ili. Repeat for the set of large data files which are plain text.

iv . Repeat for the set of text files which are neither large nor data files.

b.All lecturers are well-informed and helpful. All well-informed lecturers prepare their classes well. Every lecturer who prepares his classes well has appropriate handouts and keeps to time. All helpful lecturers keep office hours. Everybody who has appropriate handouts and keeps office hours runs the risk of being taken advantage of by students who don't turn up to class. Therefore all lecturers run the risk of being taken advantage of by students who don't turn up to class." find a suitable universal set and predicates for each, express the hypotheses and conclusions in the language of predicate calculus.