1 let fi A B and let A, C A and BicBforiEd and i =1 a show that ...

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1 let fi A B and let A, C A and BicBforiEd and i =1 a show that preserves inclusions, unions, intersections / and differences of setsi- a B.CB 6 FICBUBI C = d show th atf preserves inclusions and unions only. e A.C. A, f(A) CHA,I , f 2 let fi A B and g:B-3C a If CCC , show that b If fand g are injective, show that got is injective. C If got is injective, whatcan Yourayabout injective of fandy ? @ If f and 9 are surjective, show thatgof is surjective 3 3 let fi R. Rbethe function f(x) X X . Byestricting the domain and vonge of f appropriately obtain from fabijectin function , Draw the graphs of gandgl (There one several possible choices forg) found g? C It gof is surjective, what Can You 1sayabout surjectivity of Dsummarize your answers to (b)-le)intheform ofa theorem

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