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16 10. I. 12. CHAPTER2 FORMA Classify each of the following as true or false. If false, tell why ot give an example showing that it is not true. (a) For all sets.4 and B,A-B=B-A (b) For all sets 4, @ CA (c) ForalisetsA,ACAUGD (ad) The set {r, s, t,.. ., z} is a finite set. (e) No set can be equivalent to all of its subsets, In an interview of 50 math majors, 12 liked catcuius and geometry 18 liked caiculus but not algebra 4 liked calculus, algebra, and geometry 25 liked calculus 15 liked geometry 10 liked algebra but neither calcuius nor geometry 2 liked geometry and algebra but not calculus. Of those surveyed, how many liked calculus and algebra? For each of the following, identify the whole-number properties that are illustrated. (a) 2(3+4)=2(4+ 3) (bl) 5+7=745 () 1¢14=14=141 () 5(99+3)=5°94+5-3 () 2+G4+2)=(24+3)+2 () 533+ 4)=(+ 34