Exercise 1: Examples for set operations for each of the following examples of sets A, B, C, state what's An B, AUB, (CA) UB and P(AnZ). Write down A for both the universes U = R and U = Z. 1. A = {1, 2, 3}, B = {3,4,5} and C = {2,3,4}

Q: Find the set (AUB)'. U= {1, 2, 3, 4, 5, 6, 7} A= {2, 3, 5, 6} B = {3, 4, 5}

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Q: Find an orthogonal set with the same span (and same number of elements) as 7 -5 4 4 7 (198) -10 -8…

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Q: Given a set S, the following are true statements regarding conv S: Select one or more: O a. None of…

A: Conv of a set S: Conv S is the smallest convex set containing S. Given: S=2, -7, 4, 0, 4, -2, 5, -5,…

Q: 2. If A = {a,b,c}, B = {1,2,3}, C = {x}, and D = 0, list all of th the following sets. (a) Ax B (c)…

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Q: Let U be the universal set, where: U = {1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17}…

A: We have to find given sets using given data.Concept/formula required:1)2)3)4)5)

Q: Let U = {1, 2, 3, 4, 5, 6, 7}, A={2, 3, 6, 7}, and B = {3, 5, 6}. Find the set A¹ n B'. A' B'= (Use…

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Q: 5. Аx (В — С) %3D (А х В) — (А хС) 6. (А - В) хС %3 (АxC) — (В хС)

A: To prove the given statements.

Q: But change the problem to say A={1,5,7,11}, B={3,5,7}, C={3,7,9,11}

A: The union of two sets contains all the elements contained in either set (or both sets).The union is…

Q: Write a verbal description of the set {a, i, e,o, u}

A: According to the provided information, a set is given, set = {a, i, e,o, u}

Q: (c) A \ B = A \ (An B). (d) A = (ANB) U (A \ B).

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Q: 10) n(A v B) = n(A) + n(B) – n(A ^ B) %3D A) True B) False

A: Given A=q,s,u,w,yB=q,s,y,z

Q: LetD=​{16​,19​,21​}, E=​{16​,18​,19​,20​} and F=​{15​,17​,18​,19​,21​}. List the elements in the…

A: LetD=​{16​,19​,21​}, E=​{16​,18​,19​,20​} and F=​{15​,17​,18​,19​,21​}.   List the elements in the…

Q: Find the indicated sets with A, B, and U defined below. (Enter your answers as a comma-separated…

A: (a).B = {4,5,6,7} and C = {5,6,7,8,9,10}Now consider,