2. Let A = {1, 2, 3}, B = {n € P: n is even}, and C = {n EP:n is odd}. (a) Determine An B, BNC, BUC, and BC. (b) List all subsets of A. (c) Which of the following sets are infinite? A © B, A ¦ C, A \ C, C \ A.

Q: Draw Venn diagram for each the following: (i) AUB when A C B. (ii) AUB when A and B are disjoint…

A: Q 8  Draw Venn diagram in following cases

Q: Let 4, B, and C be sets. Show that a) (A - B) – CSA C. b) (A - C) n (C- B) = 0.

A: Answer

Q: 2. a. List all 3-combinations for the set {x1, x2, x3, X4, Xs}. Deduce the value of (,). b. List all…

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Q: Select the set that is equivalent to (Cn B) UA. (Cn B)UA (CUB) UA (CnB) nA (CUB) NA

A:

Q: If set A={1,3,5,7,…}, then match each set of numbers with the term that best describes its…

A: Given A={1,3,5,7,...}

Q: Suppose set A={1,2,3,...,50} is divided into exactly two disjoint, nonempty sets. For example, one…

A: My approach is the I break into 2 disjoint part and take cardinality(number of element) of every…

Q: Which of the following two sets are equal? Select one: a. None of them b. A = {1, 2, 3,3,{}} and B =…

A: Solution:  Defination of equal sets: If two sets A and B are said  to be equal if the number of…

Q: 12. Let S = {2, 4, 6} and T = {1, 3, 5}. Use the set- roster notation to write each of the following…

A: We have S= { 2,4,6} and T = {1, 3,5}    And we have to find S x T  in set roaster form.

Q: Show that the set {2/3,1/3,2/9,1/6...} is countable

A: Given set of numbers{2/3, 1/3, 2/9, 1/6...}. Here, this set of rational numbers will be proved as…

Q: Identify the type of set (finite, infinite or empty) as described by the following: 1. A = {stars in…

A: A set is said to be finite if it contains only finite number of elements. A set is said to be…

Q: Determine the identity element of the set N={1,2,3,..} of positive integers with addition.

A:

Q: U = {1, 2, {1}, {2}, {1, 2}}      A = {1, 2, {1}}       B = {{1}, {1, 2}}       C = {2, {1}, {2}}.…

A:

Q: How many distinct four-letter "words" can you form using all the letters of SETS?

A: We have to find no of distinct four letter can be formed using all letter of word SETS.

Q: Use the results from parts (a) and (b) to answer part (c). Let U = {1, 2, 3, 4, 5, 6, 7, 8, 9), A =…

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Q: Which of the following could be considered as NOT an equal set? B = (x : xe Z, -3 < x 0}; C = {0,…

A: Equal sets are the two sets having same element.

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: Use the Venn diagram to list the elements of the set in roster form. AUB AUB= OA. (3, 6, 9, 11, 13,…

A:

Q: 8. Consider the set B = {1,2, {3,4}}. (a) Is {3, 4} a subset of B? Why or why not? (b) List all of…

A:

Q: Which of the following sets are equal? A. {2,3} × {3, 4} B. {3, 4} × {2,3} C. {2, 2, 3, 3} × {3, 3,…

A: To choose: The sets which are equal. A. 2,3×3,4 Find the set. 2,3×3,4=2,3,2,4,3,3,3,4 B. 3,4×2,3…

Q: 2. Determine the power set of the following sets: (a}{1,5} (b){a,b,c,d}

A: The power set is a set of all the subsets. a) A=1,5Then,PA=ϕ, 1, 5, 1,5

Q: Find the complement of the set given that U = {0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10}. (Enter your…

A: First we find the roster form of the set: The set of odd natural numbers less than 10 = { 1,3,5,7,9}…

Q: Determine all numbers n belong to N with the property that the set: A = {n, n + 1, n + 2, n + 3, n +…

A: SOLUTION:

Q: Q1. How many different subsets are in cach of the following sets? Justify your answer. (a) (0} (b)…

A: Since you have posted a question with multiple sub-parts, we will solve first three sub-parts for…

Q: Express the set in roster form. B= (x | XEN and x26) Choose the correct answer below. O A. B- (7, 8,…

A: Given: B={x|x∈N and x≥6} To find: Express the set in Roster form

Q: 3. Let A, B, C, and D be sets. (a) Prove that (A × C) n (B × D) = (An B) × (Cn D).

A: Let A, B, C, and D be sets.To prove the equality, we have to show that, LHS is a subset of RHS and…

Q: Find n(A) for each of the following sets A: A. {4,5,6,7....15} B. {xI x is a letter in the word…

A: The given sets are  A = {4,5,6,7,8.......15} B = {x| x is a latter in the word Titanic } And we are…

Q: 1. List the elements of each of the following sets using roster notation: a. {x € Z* |- 5 <x< 5} b.…

A:

Q: . consider the following sets: U = {-5,–4,–3, – 2, –1,0,1,2,3,4,5}, A = {x: x² = 25}, %3D CTY B =…

A: