Find the complement of the set given that  U = {x | x  I and −3 ≤ x ≤ 10}.  (Enter your answers as a comma-separated list.) {x | x  I and −2 ≤ x < 6}

Q: Let the domain be the set of all people. Let I (x, y): "x is inspired by y". Match each of the…

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Q: 2. Determine the cardinality of the following sets. (a) {2x :1<x < 16} (b) {N} (c) {0,2 – 1, V4, ø,…

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Q: Let A and B be two sets. Determine which of the following statements are true and which are false.…

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Q: Decide, among the following sets, which sets are subsets of one and another:A = { x : x ∈ R and x…

A: A = { x : x ∈ R and x satisfy x2– 8x + 12 = 0 } ={ x : x ∈ R and x satisfy (x-6)(x-2)= 0 }= {2,6} B…

Q: State whether or not each of the following sets is closed under the operations of addition and…

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Q: Which of the following sets are closed? Choose ALL that apply. Show the steps. I. The set of…

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Q: Determine the domain and range of the following relations using set builder notation. а. b. 2. 3 1 2…

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

A: Let U be the universal set. Then complement of a set A is given by, Ac= {x | x does not belong to…

Q: Ex 3.7.1 Construct the correspondences between the indicated sets. a) Z10 and Z2 × Zg b) Z15 and Z3…

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Q: The boundary of a set is equal to the boundary of the complement True O False O

A: A point of a set is called boundary points if any neighbourhood of this point contains point of the…

Q: 1. Find the sets of interior points and boundary points of each set and classify the set as open,…

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Q: Give an example of two sets that meet the following condition. If the condition is impossible to…

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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: Given ,  U = {x | x ∈ I and −3 ≤ x ≤ 7} We have to find the complement of the set  Let ,  A = {−3,…

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: Suppose that the universal set for all variables is Z, and let P(a, b, c) be the predicate a^2 = |b…

A: Given: The universal set for all variables is ℤ. Pa, b, c is a predicate a2=b-c. To provide:  (a) an…

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

A: Solutionfind the comlement of the set given thatU={x|x∈I and -3≤x≤7}U={-3,-2,-1,0,1,2,3,4,5,6,7}let…

Q: 1. Let A and B be two finite sets such that n(A) - 20, n(B) - 28 and n(A u B) 36, find n(A n B). а.…

A: As per guidelines we are going to solve one question

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: List the elements of the set corresponding to (C' N D) U B. S cessary, fill in the answer box to…

A: The set A' contains elements which are not in A. The set A ∩ B contains elements which are common in…

Q: Find the number of proper subsets of the set. {x |x is a day of the week} O A. 256 O B. 64 O C. 127…

A: Given x | x is a day ofthe week

Q: Describe the set S = { x : I 1/2x - 3 I &gt; 4} in terms of intervals.

A: S=x : 12x-3&gt;4

Q: 3. True or False. Determine whether the given pairs of sets are equal. a. A = {2n + 1|n E W} ; B =…

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Q: The set builder form of {-1,0, 6} is O {r : x E R and a is a solution of + 5x2 + 6x = 0} %3D O {r :…

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Q: Find

A: First we write U as universal set. Then find complement.

Q: One of the following sets has the cardinality No : .a R .b .c {0,1,...,20} .d [0,1]

A: Cardinality of a set is defined by total number of elements in the set.

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

A: First write U and the given set in roster form.

Q: For each of the following sets, determine whether 2 is an element of that set. {x ∈ R | x is an…

A: For each of the following sets, determine whether 2 is an element of that set. 1.{x ∈ R | x is an…

Q: Which of the following sets is NOT an empty set? Select one: a. The set of natural numbers less than…

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

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Q: Give an alternative description of the sets specified below. 1. {x ∈ R : x^2 = 1}. 2. {x ∈ Z : x >…

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Q: A combination is a selection of r distinct objects from a. Not above b. n objects O C. r objects d.…

A: Combination:   It is nothing but the objects are being selected when the order of selection is not…

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: Find the union of each of the following pairs of sets :(i) X = {1, 3, 5} Y = {1, 2, 3}(ii) A = [ a,…

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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: Determine the membership and the cardinality of each of the sets given? a) A = {x | xN and x…

A: Note: According to Bartleby we have to answer only the first three subparts of the given question…

Q: Which of the following sets are convex and which are not? 2 a. {(x₁, x₂) x² + x²₂² ≥ 3}. b. {(x₁,…

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Q: Find the complement of the following sets: {x x > 5 and x E W} The set of integers greater than 4 or…

A: Complement set consists all the elements of universal set other than the elements of the set in the…

Q: Which of the following statements is true OA For all sets A, B and C. if AUC=BUC then A =B. O B. For…

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Q: Define the sets A, B, C, and D as follows: A = {-3, 0, 1, 4, 17} B = {-12, -5, 1, 4, 6} C= {x € Z: x…

A: Intersection collect all common elements and in union collect all elements

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

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Q: Describe the set S = { x : I } x - 3 I &gt; 4} in terms of intervals.

A: S=x : x-3&gt;4 Now consider, x-3&gt;4⇒x-3&lt;-4  or  x-3&gt;4   ∵x&gt;a⇒x&lt;-a  or  x&gt;a⇒x&lt;-1…

Q: b. Use the Sum Rule for two sets to show that |A UBUC| = |A| + \B| + \C| – |A U B| - |A U C| – |B U…

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Q: 4. Which of the following pairs of sets are equivalent or equal? (a) A = {x : x € N, x < 6} B = {x :…

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Q: Write the set X = {... -1, -0.9, -4/5,-0.7, -3/5, -1/2, -2/5, -0.3, -1/5, -0.1 0,0.1, 1/5, ...} in…

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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”.