(1) In the universal set U ={1,2,3,4,5} we define the following sets: A ={1,2,3}, B = {3,4}, and C = {5}. Find, using the appropriate notation, the following sets: (a) (AnB)UC (b) (AUB)°NC° (c) A \B

Q: 1. Given the points P(5, 3, - 4) and Q(7 - 1, - 3), find the following: a. the vector PO b. PQl

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Q: 1. Write each of the following explicitly. (a) {1} x {1, 2} x {1,2,3} (b) x {1,2} (c) 2{1,2} x {1,2}…

A: SOLUTION -1.2.1)(a) {1} x {1,2} x {1,2,3}We need to use the cartesian product for this set:…

Q: Given vectors u and v in the diagram below, shade in all linear combinations cu + dv for (a) -1 1…

A: (a) Shade the linear combination.

Q: 6. Given the universal set U ={x | x e 1, -10 sxS 10} A = {-2, -1, 0, 1, 2, 3 } B = {2, 3, 4, 5, 6,…

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Q: Let A = {3,4, 5, 6, 7}, B = {5, 6, 7, 8,9}, and C = {4, 7, 9}. Let U, the universal set, be…

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Q: Task 4.Determine the relations' composition table VI 2 2 IV

A: Composition table   ≤ ≥ ≤ ≥ ≤ ≥ ≤ ≥

Q: QUESTION 19 Match the set operation with its definition. B ANB B AUB 8 AC a. {x|x €A and x EB} b.…

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Q: Let A, B and C be overlapping sets, verify following by using Venn diagram and membership table ((An…

A: Consider the provided question,

Q: Let a and m be real numbers, u = (1, a, 2, m, -3), and w = (2, а, 2, т, 3). Then the distance…

A: Let's find.

Q: 1) Let A = {12,21, 24, 45, 55}, B = {3,4,5} and R be the relation from A to B: For all (x, y) E A x…

A: We have to solve given problems:

Q: If Si and S2 are convex sets, is their union S1 U S2 a convex set. Explain your answer.

A: The union of two convex sets is not convex.

Q: Check here for instructional material to complete this problem. Let U= {1, 2, 3, 4, 5, 6, 7, 8, 9,…

A: Given : A = { 1,3,7,8} B = { 1,4,10 }

Q: Ex 3.7.1 Construct the correspondences between the indicated sets. a) Z10 and Z2 × Zg b) Z15 and Z3…

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Q: Prove that for A # B, AB S AB S AB.

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Q: Let Asfl,2,3} and The relations Ri=f(),(2,),(3,2) | find the following Ye lations

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Q: Direction: Define subsets of Za, as follows: A = {a | a E Za and a 5} A = {a | a E Za and 3| a} 1.…

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Q: 2. -4 -3 and - 2 9. to the linc through Compute the distance from and the origin

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Q: Let u = = (1, 2, 3, 4), v = (0, 2, t, 3), and w = (1, 1, 0, 1). Find t so that the angle between u −…

A: I am going to solve the problem by using some simple calculus to get the required result of the…

Q: Let A, B, and C be sets. (a) Find |(A U C) \ B|provided |A| = 50, |B| = 45, |C| = 40,|A N B| = 20,…

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Q: 1. Let the universal set be the set S = {1,2,3,4,5,6,7,8,9,10} and let A= {1,2,3,4,5} , B = {2,4,6}…

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Q: 5) Again let Universe U = {0, 1, 2, 3, 4, 5, 6, 7, 8, 9}. Let S = {0, 1, 2}, T = {1,4}, R = {2, 4,…

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Q: 1. Let u = (1,2,3) and v= (1, x, 0) and w= (0,1,0). a. Find ||u + w||. b. Find (u, u + w) + ||u||.…

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Q: Suppose v = (2, 5, 4), |w| = 3 and the angle between v and w is 30◦ (a) Find v · w (b) Find compvw…

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Q: Suppose vector i = [-3,4,-6] and originates at point A at (1,5,-3) and terminates at point B at…

A: “Since you have posted a question with multiple sub parts, we will provide the solution only to the…

Q: 8. Let A = {2, 4} and B = {1, 3, 5} and define relations U, V, and W from A to B as follows: For all…

A: In the given question we have to draw the arrow diagram of the relation U,V and W and we have to…

Q: Given the following​ sets, find the set left parenthesis Upper A prime intersect Upper B right…

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Q: Let A = [3, 8], and B= (-00, 4). Choose sets that are infinite and uncountable. O P(ANN) O P(AnQ) O…

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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”.