# Homework # 1.pdf - Homework # 1 1. Write the following in...

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Homework # 11. Write the following in set notation.a)The set of all real numbers greater than 8, but less than 73.b)The set of all real numbers greater than or equal to -4, but less than or equal to 4.2. Given the sets12,4,6S,27,2,6S,34,2,6S, and42,4S, which of thefollowing statements are true?a)12SS.b)1SR.c)25S.d)23S.e)44S.f)4SR.g)14SSh)2S .i)31,2S.
3. Given4,5,6A,3,4,6,7B, and2,3,6C, verify that the distributive law for setsholds.4. Enumerate all the subsets of the set, ,a b c5. In three-dimensional space, do the following constitute convex sets? Explain.a)A doughnut.b)A bowling pin.c)A perfect marble.6. Graph each of the following sets , and indicate whether it is convex, and why or why not.a)2,:13x yyx.b)2,:13x yyx.c)2,:13x yyx.d),:1;0;0x yxyxy.7. Given13,6,9S,2,Sa b, and3,Sm n, find the Cartesian product23SSS..1

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