Let U= {a, b, c, d, e, f, g, h, i, j, k}. Let A = {a, b, f, h, i, j}. Let B = {a, c, d, h, j}. Let C = {a, d, f, g, j}. Determine An c.

Q: Let U= {2, 6, 8, 10, 12, 14, 16, 18}, A= {2, 6, 10}, B= {6, 10, 16, 18}, and C={14, 16}. Find B U C

A:

Q: Let X={a,b,c,d), f = ((a,b),(b,a),(c,c),(d,d)}CX×X, and g= ((a,d),(b,a),(c,b),(d,c)}CX×X. Find gof.…

A: Use the definition of composition of functions to solve this problem as in next step.

Q: Let A = {1, 2, 3, 4, 5, 6} and B = {a, b, c}. Find: a. Card(A x B) b. Card(A x A) c. Card(AB) d.…

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Q: Given A = {1, 4, 5, 6, 7}, B = {2, 4, 5, 6, 8, 9}, and C = {1, 4, 6, 7, 10}, find A – B. O {1, 2, 4,…

A: To find A−B, we need to determine the elements that are in set A but not in set B. This operation is…

Q: Let à (6, 7, 4) and 6=(3,2,2). = (a - b) × (a + b) i

A: We are given that, a→=6,7,-4, b→=3,2,2 We have to find: a→-b→×a→+b→

Q: Q = {E, A, A², A³, B, BA, BA², BA³} X,

A:

Q: Let D (2,5,7}, E= (2,4,5,6) andF=(1,3,4,5,7). List the elements in the set (D UE)N F. (DUE)NF = }…

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Q: Let A = {0, 2, 4, 6}, B = {1, 2, 3, 4, 5}, and C = {1, 3, 5, 7}. Find B U (AN C). || {

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Q: Given A = {2, 4, 5, 7} and B = {1, 2, 3, 5, 7}, find B - A. ○ {4} O {1,3} O {2, 5, 7} O {1, 2, 3, 4,…

A:

Q: Let U= {q, r, s, t, u, v, w, x, y, z}; A = {q, s, u, w, y}; B = {q, s, y, z} and C = {v, w, x, y,…

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Q: Let A = {1, 2} and B = {3, 4}. Write A × B. How many subsets will A × B have?List them.

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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”.