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Question: number 6 please source book of proof richard hammack...

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Number 6 please.

Source: Book of Proof - Richard Hammack

Exercises for Section 1.8 1. Suppose A1=ta,b,d,e,g,f},A2={a,b,c,d),Ag={b,d4) and A,-{a,b,h . UA:= i-1 (a) A10,2,4,8,10, 12, 14, 16, 18,20, 22,24, | Ag = {0,48, 12, 16, 20, 24. 2. SupposeA0,3,6,9,12, 15, 18,21,24) (a) UAi i=1 3. For each n EN, let An 0,1,2,3,.. n) (a) UAi- İEN iEN 4. For each n EN, let An -2n,0,2n). (a) UAi iEN iEN İEN iEN U[0,it. 1- iEN (b) nI0,i+1] (a) 7. (a) URxli,i +1]- 8. (a) 6. iEN I EN iEN U { }x [0,1] (b) n X- XEP(N) 10. (a) U [x, 1] x[0,2]- 11. Is n AnS U Aa always true for any collection of sets Αα with index set I? 12. IfnAg- UAa, what do you think can be said about the relationships between 13. If J #0 and J s1, does it follow that U Αα υ Αα? What about n Aa aa? 14. If J FO (b) n [x, 1] x [0,x2]- xe[0,1] El Ae? sets and/s, does it follow that nAaS ΩΑα? Explain. GEJ

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