19. Using the Venn diagram below, identify the elements for the indicated set. U X a) X d) XUY g) XUY 1 Y 2 COD: 6 5 3 9 7 10 b) Y e) XnY h) Xn Y 8 4 c) U f) Y - X

Q: 1 Determine whether or not the three given points le on a ne A (1,1,2), B(-1,-9, 3), C (3,2,1) 2.…

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Q: 2. Recall that for two sets A, B, the Cartesian product of A and B is the set Ax B = {(a, b) : a € A…

A: The answer for the above question is given below please do upvote if you like the solution thank you

Q: 3. Let U = {1,2,3,4,5), B = {4,5) and A and B are non-e of the following: a.) Bnc = {5}, C c A, B C…

A: U = {1,2,3,4,5} Given B = {4,5} A and B are non-empty sets

Q: Given, A={0,1}, B=null set C= {2,3} Find A xB, A X C, A u B, A\B, A\c, AX C, B intersection C and…

A: our objective is to find the solution.

Q: 10. Let A, B, and C be sets. Use the identities to show that (A U B) n (B U C) n (A U C) = Ā n Bn T.

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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: 12. Statement 1: All X are Y Statement 2: All Z are X Statement 3: Therefore, A. all Z are Y B. some…

A: Statement 1:All X are YStatement 2:All Z are XStatement 3: therefore=?

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: 13. Let A = {ab.ceg.hilo},B = {b.cdfiikln} and C = {cdehiklmo} (a) Draw a Venn diagram showing the…

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Q: 3. List all the entries of the following sets: a) A = {a la € Z+ and -11 < a ≤ 11} b) B = {b | b =…

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Q: 1) If A E M18.8 (R), then: a) The minimum Rank would be: b) The maximum Rank would be: c) The…

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Q: a) Show that the set S = {(1, 2, 3), (0, 1, 2), (– 2, 0, 1)} spans R³. b) Determine whether the set…

A: See the attachment.

Q: d) Suppose X = {1,2, 3} and Y = {5,6}. The number of elements of the set P(X× Y) =

A: Elements in X = 3. Elements in Y = 2 Elements in X × Y = 3 × 2 = 6

Q: Exercise 2.29. Pick several different subsets of R, and for each one, find its interior and boundary…

A: Suppose X,I is a topological space and A⊆X. Interior of A, Int(A) is defined as the union of all…

Q: 8. Shade the sets с (with B B (Anc)n B and (ANC)UB.

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Q: Theorem 5.25. Let A, B, and C be sets. Then 1. A× (B N C) = (A × B) N (A × C) 2. A × (B U C) = (A ×…

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Q: Let U= (4. r, 5, t, u, v, w. x y, 2). A = (q, 5, u, w, y): B= (9. s. y. z) and C= (v, w, x, y. 2).…

A: Given that U={q,r,s,t,u,v,w,x,y,z} A={q,s,u,w,y} B={q,s,y,z} C={v,w,x,y,z} To find B'

Q: a) Let A = {4, 7, 8} and B = {−1, 5}, Find and compare sup(A+B) , inf(A+B), sup(A)+sup(B),sup A -…

A: See the attachment

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: 1. Construct the intersection for the collection of sets: A₁ = (0,2,4,6,8) A₂ = [0, 1, 2, 3, 4) A3 =…

A: I do both 1 and 2 questions. In second question if matrix is symmetrical than we will find…

Q: 5. Consider the following statement: For all sets A, B, and C, then AU (BNC) = (AUB) nC. Either…

A: Let value of set A,set B and set C are respectively. A={1,2,3,6,7} B={3,7,8,9} C={2,3,6,9}

Q: 2. Let U= {x:x E Z ,0<x< 10} , A= { x:x € N ,x² – 5x = -6}, B ={ a , b} and C={c, d, e }: ( Hint: a…

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Q: 2. Recall that for two sets A, B, the Cartesian product of A and B is the set Ax B = {(a, b) : a € A…

A: The answer for the above question is given below please do upvote if you like the solution thank you

Q: 3. Let U= {x: xEZ, 0<x< 15} A = { x: x E N and (x − (m + 3)(x − (m + 2) = 0}, B = {8,6,7,9} and a.…

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Q: Y: The set of yellow pieces H: The set of hexagonal pieces L: The set of large pieces B: The set of…

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Q: pls. answer correctly... thank you

A: A Venn diagram is an illustration that uses circles to show the relationships among things or finite…

Q: Exercise 1. Prove that for sets A, B,C we have C \(AUB) = (C\ A) N (C \ B).

A: We have to show that for sets A, B, C   C ∖(A∪B)=(C∖A)∩(C∖B).

Q: Describe the set {TER²: doo (r,(0,0)) = 1}.

A: Given: Set x∈R2:d∞(x,(0,0))=1 We have to describe the set.

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: Determine whether the following sets are equivalent, equal, or disjoint sets.  1.) B = {red,…

A: Solution: Note: Hello! As you have posted more than 3 sub parts, we are answering the first 3…

Q: 2. Recall that for two sets A, B, the Cartesian product of A and B is the set A × B = {(a, b) : a E…

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Q: For the poset, R = ( { 1, 2, 3, 5, 10, 15, 20, 25, 30, 35, 50, 70 }, | ):   Draw the Hasse digrams…

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Q: 2. If A = {a,b,c}, B = {1,2,3}, C = {x}, and D = 0, list all of the elements in each of the…

A: We have to find Cartesian product of part (c) and part (d)

Q: A CU (A - B) в) BU (C - A) с) в - (АС) BU (A - C)

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Q: Let A = {1, 2, 3, 5, 8, 13) and B = (2, 4, 6, 8, 10) 2. a) Draw a Venn diagram illustrating these…

A: It is given that A = { 1, 2, 3, 5, 8, 13 }B = { 2, 4, 6, 8, 10 }

Q: Let 4, B, and C be sets. Show that а) (А — В) — С сA-C. b) (А — С) n (С- В) 3D0.

A: