Let A = ({0} ∪ {x | x ∈ ℤ+and x < 4}), B = {0, 1, 3, 5, 7}, and C = ({0} ∪{x | x ∈ ℤ+and x is even and x < 8}). Write the contents of the following in roster notation. a) A ⨁ B b) (A ∪ B ∪ C) – (A ∩ B ∩ C) c) B ⨁ (A ∩ C)

Q: D. Let U be the set of major league baseball players and let N = {x]x plays for the New York…

A: We have to answer questions based on simple set theory.

Q: Write down all elements of {I, J, K} x {W, X}. (Enter your answer in set notation.)…

A: The given problem is to find the Cartesian product of the given sets {I,J,K} and {W,X}.

Q: If R = {1, 4, 6, 7) and T = {4, 7, 9), find the following sets. (A) {x| XER or xET) (B) RUT (A)…

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Q: Let A = {1, 3, 5, 7, 9), B = {3, 6, 9), and C = (2, 4, 6, 8). Find each of the following. (Express…

A: Given sets: A=1,3,5,7,9 B=3,6,9 C=2,4,6,8 Find: a) A∪B b) A∩B c) A∪C d) A∩C e) A-B f) B-A g) B∪C h)…

Q: Find the complement of the set given that U = {x | x I and −3 ≤ x ≤ 9}. (Enter your answers as a…

A: First we write U and the set in roaster form.

Q: If P = {a, b, c} and Q = {r}, form the sets P × Q and Q × P. Are these two products equal?

A: P × Q = {a,b,c} × {r} = {(a,r) , (b,r) , (c,r) } Q × P= {r} × {a,b,c} = { (r,a) , (r,b) , (r,c) }

Q: Find the complement of the set given that  U = {x | x  I and −3 ≤ x ≤ 9}.  (Enter your answers as a…

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Q: . How many relations are there on the set S = {2, 4, 6}? 892 512 none of these 1024

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Q: Which of the following set is empty a. {x: x = x} b. { x : x != x 2 } c. { x : x ! = x } d. {x:…

A: Empty set:            The empty set is the unique set having no elements. and its cardinality is…

Q: Find the complement of the set given that  U = {x | x  I and −3 ≤ x ≤ 5}.  (Enter your answers as a…

A:

Q: Find the complement of the set given that  U = {x | x  I and −3 ≤ x ≤ 10}.  (Enter your answers as a…

A: We Know that,  If U is a universal set and A be any subset of U then the complement of A is the set…

Q: A = {−1,0,1,2,3}, B = {12,1,4}, C = {x|0 < x ≤ 2}, D = (−1,1]. Find each of the following sets: 6.…

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Q: A = ({0} U {x |x € Z* and x < 4}), В 3 30, 1, 3, 5, 7}, and C = ({0} U{x| x E Z* and x is even and x…

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Q: Let A, B, C be sets. Prove that if C ⊆A, then A −(B −C) = (A −B) ∪C. Analogously, for any real…

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Q: 3. Let A, B, C be sets. Provide a proof or a counterexample for each of the following statements. a.…

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Q: Give an example of four sets A, B, C and D such that (AUC) x (BUD) ≤ (A x B) U (C x D).

A: The set A is a subset of B if every element of A is in B

Q: Write an element from the set B × A × C

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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…

A: First we write U in roster form.

Q: If |A|  8 and |B|  5, what is |A ∪ B| + |A ∩ B| ?

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Q: Another operation that can be defined on sets A and B is the difference of the sets, denoted by A −…

A: First we have to find B' (complement of B)

Q: if A and B are set, then A x B=B x A  True or False

A: