Let X (a, b, 1, 2, 3) and T = {X, 0, {a), (1,2), {a,1,2), {b,1,2,3}). Let A = {a, b, 1), then A (the set of limit points of A) is * OA-b13) O A- A O A= (b, 2, 3)

Q: R and S are relations on set A = {1,2,3,4}, defined as R = {(1,2},(1,3),(2,3),(2,4),(3,1)}; S =…

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Q: X, Y and Z be subsets of the set . Verify the following propert XU(YUZ) = (XUY)UZ, XN(YnZ) = (XnY)…

A: X, Y, Z be subset of a universal set Ω to verify…

Q: 1. Let f = {(1, 2), (3, 4), (2, 6), (5, 9}. a) Find the domain of f: {1, 2, 3, 4, 5} O {2, 4, 6, 9}…

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Q: 18. In each part, let T₁: R3-R² be multiplication by A, and let u,= (0, 1, 1) and u₂=(2,-1, 1) and…

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Q: (b) Let {Ai e I}. Prove that 4) =UA;. |A, iel

A: We need to prove that ∩i∈IAic=∪i∈IAic  for set Ai/i∈I We will prove using the following method: To…

Q: A = { 3, 0, 1 } B = { y, x }  what is the cardinality of A x P(B) ?

A: Given that, A = {3,0,1}  B ={ y , x }  Power set of B = {{},{x},{y},{x,y}}  Generally cardinality is…

Q: Let U=(3,4,8,9,10,11,15,18,19), X=(4,9,11,18), Y = {4,8,9,10,11), and Z=(3,4,8,18,19). List the…

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Q: Let A, B, C subset U. Suppose that n(U)= 90, n(A)= 40, n(B)= 55, and n(C)= 20. Which of the…

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Q: 9) If the vector w = (1,-4, 9, 18) can be (1,-1,3, 5) and v₂ = (2, 1, 0, -3) th are: 0000 O a=3,…

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Q: (1 point) Suppose that {A, B, C'} is a partition of the set {1, 2, 3, 4, 5, 6, 7, 8, 9, 10}, where A…

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Q: Let A, B, C be subsets of X. show that Av (Bnc) - (AUB)n (AUC) AnCBUC) = (ANB)~ (ANC)

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Q: Suppose p and o are relations defined on S = {1, 2, 3, 4} by the sets p = {(2, 2), (3, 2), (3, 4),…

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Q: {1, 2, 3, 4, 5, 6, 7, 8, 9, 10} onto {1, 2, 3} (i

A: According to the question, To find the number of surjective (onto) functions from a set of size 10…

Q: A = {q, s, u, w, y} B = {q, s, y, z} C= (v, w, x, y, z). List the elements in the set. (Au B)'n C

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Q: 9. Which of the following are true for all sets A, B, and C. If the statement is true, prove it by…

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Q: There are 6 towns {A, B, C, D, E, F} with the following one way street relation {(A, B), (A, C), (B,…

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Q: 4 (6) Let U = {a, b, c, d, e, f, g, h } A = {a, f, h } B = {b, c, d, f } C = {b, c, d, e, g } %3D…

A: Given U = a, b, c, d, e, f, g, hA = a, f, hB = b, c, d, fC = b, c, d, e, g

Q: Consider following five sets: 1. { , } { } II. { } II. IV. { , , } V. { , } Find all linearly…

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Q: Consider following five sets: I. { , } { } II. { } III. IV. { , , } V. { , } Find all linearly…

A: We have to check whether given set of vectors linearly independent or linearly dependent by known…

Q: Fast

A: Let 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)Formula…