Let A, B, C subset U. Suppose that n(U)= 41, n(A)= 30 and n(B)= 35. For each of the following sets, give the smallest possible number of elements the set can contain and the largest number of elements the set can contain. If you know the exact number of elements the set has, then write the same number in both spaces. 1. A U B What is the smallest and largest possible values. 2. A intersect B What is the smallest and largest possible values. 3. A’ What is the smallest and largest possible values. 4. A’ intersect B What is the smallest and largest possible values. 5. A’ U B What is the smallest and largest possible values

Q: I. TRUE OR FALSE. Write 1 if the statement is always true. Otherwise write 0. 7. For any sets A, B,…

A: Given that  for any sets A,B,D, if B⊆A then D-A⊆D-B We have to check that the above statement is…

Q: I. TRUE OR FALSE. Let A, B, and C be sets. Write "True" if the statement is always true; otherwise,…

A: As per our guidelines only first three questions are solved. For remaining questions kindly repost…

Q: Define the sets A, B, C, and D as follows: A = {-3, 1, 6, 7, 10} B = {-10, -5, 1, 4, 6} C = {x ∈ Z:…

A: Given: The sets are: A=-3,1,6,7,10B=-10,-5,1,4,6C=x∈Z: x is oddD=x∈Z: x is positive To find: The set…

Q: 2. Let A = {1, 2, 4, 8, 16, 32) and B = {1, 2, 3, 4, 5). Determine the following sets: AnB B\A • Bx…

A:

Q: Q14D. Define the sets A, B, C, and D as follows: A = {-3, 1, 6, 7, 10} B = {-10, -5, 1, 4, 6} C = {x…

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Q: Determine if the given set is the empty set 0 A. 0 is not an empty set B. 0 is the empty set

A: To determine-                             given set 0 is the empty set or not.

Q: Find the complement of the set given that                                                     U = {x…

A:

Q: 1. Let the universal set be the set S= {0,2,4,6,8,10,12,14,16} and let A= {2,4,6,8}, B = {0,2,4,6}…

A: a)  b)  c) d) e)

Q: Sets I and B are defined as follows. I={d,f, k} B= {b, c,f} Answer each part below. Write your…

A: The set X∪Y contains the elements that are present in either X or Y. The set X∩Y contains the…

Q: Find the complement of the set given that  U = {x | x I and −3 ≤ x ≤ 7}. (Enter your answers as a…

A: Complement: The complement of a set A is the set of elements in the universal set U that are not in…

Q: Indicate whether the two sets are equal. D = {x: x is a natural number less than 3}, E = {1, 2, 3}

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Q: Find the complement of the set given that  U = {x | x  I and −3 ≤ x ≤ 7}.  (Enter your answers as a…

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Q: Q14B. Define the sets A, B, C, and D as follows: A = {-3, 1, 6, 7, 10} B = {-10, -5, 1, 4, 6} C = {x…

A:

Q: 4 10 11 •12

A: To find the elements of the sets x,y and z from the given venn daigram.

Q: Find the complement of the set given that U = {x | x I and −3 ≤ x ≤ 7}. (Enter your answers as a…

A: The given universal set .To find the complement of the set .

Q: Use the given sets to find A n B. A = {5, 6, 7, 8, 9, 10, 11, 12, 13} B = {2, 4, 6, 8, 10, 12}

A: Given,          A= 5,6,7,8,9,10,11,12,13           B= 2,4,6,8,10,12 We know that,         A ∩ B…

Q: Find n(A) for the set. A= {5, 5, 6, 6, 9, 9} O A. n(A) = 10 O B. n(A) = 3 O C. n(A)= 6 O D. n(A) = 5

A: We have to find nA for the set, A=5, 5, 6, 6,.....,9, 9 nA is the number of elements present in the…

Q: Write TWO expressions (set names) that represent the shaded region in set notation. @ B

A:

Q: Find the complement of the set given that  U = {x | x I and −3 ≤ x ≤ 7}. (Enter your answers as a…

A: First we write U in roster form.

Q: the choice d:How many shooting stars i can see at night

A: Note: Discrete and continuous variables are two types of quantitative variables: Discrete variables…

Q: Find the complement of the set given that U = {x | x I and −3 ≤ x ≤ 7}. (Enter your answers as a…

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Q: Determine the mode of the set of values. (Enter your answers as a comma-separated list. If there is…

A:

Q: Let A and B be sets. The symmetric difference of A and B is Select one: a. (A − B) n (B − A) - - O…

A: Given: Two sets A and B. We have to write the symmetric difference of A and B.

Q: Let A = {H, T}, B = {1, 2, 3, 4, 5, 6, 7), and C = {red, green, blue}. Find the number indicated.…

A: Here A = {H, T}, B = {1, 2, 3, 4, 5, 6, 7}, and C = {red, green, blue}. We find n(B×C).

Q: IV. Let U = {0,1,2,3,4,5,6,7,8,9,10,11,12,13,14,15}, A = {2,4,6,8,10}, B = {7,9,11,13,15}, C =…

A: "Since you have posted a question with multisubparts, we will solve the first three subparts for…

Q: Consider two sets A and B. The set A has elements {1, 2, 3, 4, 5} and the set B has elements {3, 4,…

A: The intersection of two sets, denoted A∩B , is the set containing all the elements which are common…

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”.