8. Let S be the set of US states bordering Lake Superior, M be the set of US states bordering Lake Michigan, H the set of US states bordering Lake Huron, E the set of US states bordering Lake Erie, and O the set of US states bordering Lake Ontario. Find the following (in roster notation). NOTE: The upper peninsula of Michigan borders Lake Superior. listing them all out ONTARIO QUEBEC Lake Superior N MINNESOTA Sault Ste. Marie Duluth Mackinac Jaland Toronto Lake Ontario Oswego Sturgeon Welland Canal Rochester Manistee Erie Canal Buftalo NEW YORK WISCONSIN MICHIGAN Milwaukee Detroit Lake Erie PENNSYLVANIA Cleveland Chicago IOWA оно MARYND INDIANA ILLINOIS WEST VIRGINIA MISSOURI VIRGINIA KENTUCKY (») S = [Minnesota , wis con sin, MIchigan] (b) M = Cvisconssin, Illinas, michigan ]" (c) H = CMichigary (4) E = Cmicnigan, chlo, pennsyIvania, New york] %3D (©) O = CNew yong] (f) SM = (g) S MUE = (h) Hno = (i) (SnE)U0 = (i) (EUO) – M = Lake Huron Lake Michigan

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Set Theory

Every field in the present world involves a set. The theory of sets was developed by German mathematician Georg Cantor while working on the “problems of trigonometric series”.