Find the union or intersection as indicated for the given sets. A = {x | x ∈ the natural numbers and x < 4}, B = {x | x ∈ the integers and -2 < x < 2} Find A ∪ B. A.{0, 1} B.{-2, -1, 0, 1, 2, 3, 4} C.{-1, 0, 1, 2, 3} D.{1} E.No answer text provided.

Q: Find the intersection between the set of all integers bigger than 0 but smaller than 10 and the set…

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Q: For the set ?={−3,0,57,−8‾√,2.314520968724609....,14}A={−3,0,57,−8,2.314520968724609....,14}.…

A: Given :A=-3,0,57,-8,2.314520968724609...,14To indentify those that are…

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: 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: 13. Find the Cartesian product A x B of the sets A = {12, 9, 10} and B = {14,4}

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Q: How can you represent the set {(1, 3),(3, 1),(3, 3), (1, 1)}? (choose all correct answers - there…

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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: . The sets A, B, C are given by A = {0, 1,2}, B = {a,b) and C= {b,c,d). (a) Find A x B. (b) Find (A…

A: A=0,1,2B=a,bC=b,c,d Remember : A×B=a,b|a∈A, b∈B

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

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Q: 8. Show that the set (0, 1) – {1/2, 1/3, 1/4, -..} is uncountable.

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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: Q26. Which subset immediately precedes the subset {X7, X5, X3, X2, X1} of the set S= {X7, X6, X5,…

A: Total number of subset of S =2^8 = 256 Now let's find subsets having 5 elements. {x7,x6,x5,x4,x3}…

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

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Q: Which of the following pairs of sets is a disjoint set? O (1,2,3,4) and (x x is a natural number and…

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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: Q14A. Define the sets A, B, C, and D as follows: A = {-3, 1, 6, 7, 10} B = {-10, -5, 1, 4, 6} C =…

A: The given problem is to find the intersection of sets B and D with the given defined sets A,B,C,D.

Q: T T T F 29. If x and y are real numbers and x² < y² then x < y. F 30. Let A, B, C and D be sets with…

A: We have to check whether the given statement is true or false.

Q: A = {1, 2, 3} b. A = {0, 1, 2, 3} c. A = {-2, -1, 0, 1, 2, 3, …} d. A = {…, - 2, -1, 0, 1, 2, 3}

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Q: Q15A. Define the sets A, B, C, and D as follows: A = {y EZ:2 < y ≤ 9 and y is odd}. B = {1, 4, 6} C…

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Q: 1. Give at least 5 pairs of numbers a and b. For each of those pairs find at least 10 elements of…

A: We need to find at least 5 pairs of numbers a and b. For each of those pairs  at least 10 elements…

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: 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: Use the roster method to describe the elements of the following sets. ([-4,6) n (-3, 11)) nZ =…

A: The given sets,The objective is to describe the elements in the given set by roster form.

Q: Find the complement of the set given that U={x xEI and -3<x<9}. (Enter your answers as a…

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Q: | Let A = P({1,{1}}}, B = P({0,1}), and C = P({0,1}) where P(S) is the power set of S. Find the…

A: (1){{0},{0,1}}(2){ϕ,{1},{{1}},{1,{1}},{0},{0,1}}(3)ϕ(4) Refer to explanation part below.   If you…

Q: VII.1. Describe the set (R × Z) ∩ (Z × R)

A: We have to describe the set (R × Z) ∩ (Z × R).

Q: 1. Give the domain of y=xin set builder notation. 2. If a and b are real numbers such that a <b,…

A: Given that 1. y=1x2-42.  x-ab-x≤0

Q: ers are a subset of vegetables. D. Birds are a subset of mammals. 3. If the universal set is the set…

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Q: Which of the following is an example of an empty set? O {x: x€N,4 sx s 5} O The set of odd natural…

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Q: Jx + 1 if x is even b. f(x) = S = {0, 1, 5, 9}, T = Z – E if x is odd; 2 7 11

A: The given function isfx=x+1if x is evenxif x is oddS=0, 1, 5, 9T=ℤ-Ewhere ℤ is the set of integers…

Q: Evaluate each of the sets A-E and write the answer in list format: (a) A = NUZ (b) B = {2x: x €Z}…

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Q: Let Q be the set of rational numbers and R be the set of real numbers, A = {x e R: 5<x< 10}, B = {x…

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