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: Given the sets A = {0, 1, 3}, B = {1, 4, 5}, and C = {0, 1, 3, 4, 5}, what is A ∩ B ∩ C?

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Q: Use the given sets to find (A∪B)∩C   A={1,2,3,4,5,6,7,8} b={2,4,6,8,10,12} c={3,5,7,9,13,15}

A: Given that, A={1,2,3,4,5,6,7,8} b={2,4,6,8,10,12} c={3,5,7,9,13,15}

Q: Suppose that A = (3, 7,1 6}, B = (3, 16}, C= (7, 16}, and D = {7,8, 1 6}. Determine which of these…

A: Set A is said to be a subset of Set B if all the elements of Set A are also present in Set B. In…

Q: What can you say about the sets A and B if A ⊕ B = A?

A: The symmetric relation is described as, A ⊕ B =(A-B) U (B-A)

Q: Given the following sets, perform the indicated set operations:   U = {0, 1, 2, 3, 4, 5, 6, 7, 8,…

A: Set and operations

Q: Which of the following sets are created correctly?s = {1, 3, 4}s = {{1, 2}, {4, 5}}s = {[1, 2], [4,…

A: The elements of the set is written in { } separated by comma. Example: A=a, b, c If there are two…

Q: Which of the following statements is true about the three sets A.B.C defined below: A=[ – 4,4]…

A: The given three sets are: A=[-4,4]B=[-6,2]C=[-2,6] i.e. the set A consists of the elements…

Q: Refer to the sets below. Which set represents (C-A)NB ? U = {0, 1,2, 3, 4, 5, 6, 7,8,9} A = {3, 4,…

A:

Q: d) Suppose X = {1,2, 3} and Y = {5,6}. The number of elements of the set P(X× Y) =

A: Elements in X = 3. Elements in Y = 2 Elements in X × Y = 3 × 2 = 6

Q: If A,B and C are sets, then A x (B-C) = (A × B)- (A x C). |

A:

Q: Suppose that A = {3, 7,1 6}, B = {3, 16}, C = {7, 16}, and D = {7 ,8, 1 6}. Determine which of…

A: Subset :  A set P is a subset of a set Q if all elements of P are also elements of Q , Q  is then a…

Q: Write the following sets in roster notation:(a){n∈Z|n2= 9}(b){a|a= 2n+ 1andn∈N}

A: (a) Given set is A=n∈Z|n2=9 We have to write the given set into the roster notation

Q: Given the following sets, find the set A' n (B U c'). U= {1, 2, 3, . . , 6} A= {1, 2, 3, 5} B= {2,…

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Q: Which of the following are disjoint sets? O B.(1,2,8) and (2,8,4) O C (1,2,5) and (3,4,5) (1,8,5)…

A: Given the sets:  1,2,3 and 2,3,4 1,2,5 and 3,4,5 1,3,5 and 1,3,6 1,3,5 and 2,4,6 We have to check…

Q: 2. If A = {a, b, c}, B = {1,2, 3}, C = {r}, and D = 0, list all of the elements in each of the…

A: Cartesian product of sets

Q: Let A, B, C, D be sets. (ANB)x(CND)=(AXC)n(BxD). True. False.

A: Use the basic properties of intersection and cartesian product to prove the given relation.

Q: List the elements of the given set. the sets (A N B) UC and A N (BU C), where A = {1, 2, 3, 4}, B =…

A: use operation of sets to find the desired results

Q: Which of the following are disjoint sets?* B.(1,2,3) and (2,3,4) O (1,2,5) and (3,4,5) O (1,3,5) and…

A: Topic:- set theory If the two sets A and B are disjoint then they have no elements in common that is…

Q: B. Identify the sets represented by each of the shaded areas below, using the set notation symbols…

A:

Q: Let A and B be sets. Then B (B – A) is equal to the above A N B

A: The Venn diagram for 2 sets can be drawn as follows.

Q: Find the following sets: U= {1,2,3,4,5,6} S = {2,4,6} T= {1,2,4} V= {4,5,6} 33. S U (T ∩ V)…

A: As per our guidelines we can help you in solving only first three subparts, Rest of the problems you…

Q: 2. Write the following sets in roster notation. (a) {r|x € N, x -3} (c) {r |x € N, –2 < x < 6}

A: Given we have given the following sets (a) x x∈ℕ , x≤-8 (b) x x∈ℤ, x≥-3 (c) x x∈ℕ,-2≤x&lt;6 we have…

Q: Determine the values of the following set expressions. Ø × {{0}} P({0, {0}}) {0} × {0, {0}} P({{0}})…

A: Note: Hi! Thank you for the question as per the honor code, we’ll answer the first question since…

Q: 5. Write these sets in set-builder notation, where U = {1, 2, . . . , 20}. (a) {11, 12, 13, 14} %3D…

A: As per our guideline we are supposed to answer only three subpart of question you can repost other…

Q: Determine whether the following sets are equivalent, equal, or disjoint sets.  1.) B = {red,…

A: Solution: Note: Hello! As you have posted more than 3 sub parts, we are answering the first 3…

Q: Let U = {1, 2, 3, 4, 5, 6, 7, 8, 9}, A = {1, 2, 3, 4}, B = {1, 2, 4, 5}, C = {1, 5} Find each of the…

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Q: If A and B are sets, then A n (B – A) = Ø. %3D

A:

Q: What can you say about the sets A and B if we know that a) A ∪ B = A? b) A ∩ B = A? c) A − B = A? d)…

A: (Note: Since we only answer up to 3 sub-parts, we’ll answer the first 3. Please resubmit the…

Q: Let U = {0,1,2,3,4,5,6,7}, A = {3,4,5}, B = {0,3,4,7}, C = {6,7}, find the following sets using the…

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Q: Consider the setsφ, A = { 1, 3 }, B = {1, 5, 9},                               C = {1, 3, 5, 7,…

A:

Q: Which of the following are disjoint sets? * (1,3,5) and (1,3,6) O (1,2,3) and (2,3,4} ) (1,2,5) and…

A: Given query is to find the disjoint set.

Q: Use the following sets to define each set below. A = (4, 7, 10, 14, 17, 20) B = (1, 4, 9, 14, 20) C…

A: The intersection of two sets A and B, denoted by A∩B, consists of all elements that are both in A…

Q: Write the following sets in the set-builder form :(i) (3, 6, 9, 12}     (ii) {2,4,8,16,32}…

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Q: List the elements of the given set. the sets (A ∩ B) ∪ C and A ∩ (B ∪ C), where A = {1, 2, 3, 4, 5,…

A: Given A = {1, 2, 3, 4, 5, 6}, B = {3, 4, 5, 6}, and C = {1, 2, 6, 7, 8}.

Q: 2. If A = {a,b,c}, B = {1,2,3}, C = {x}, and D = 0, list all of the elements in each of the…

A: We have to find Cartesian product of part (c) and part (d)

Q: Let A, B and C be non-empty sets and let X= (A-B)-C and Y=(A-C)-(B-C) .Check whether X=Y or not.

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Q: List the elements of the given set. the sets  (A ∩ B) ∪ C and A ∩ (B ∪ C), where A = {1, 2, 3, 4}, B…

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Q: Let A, B, C, D be sets. If A\ B CC\D, then ANDC B.

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Q: Given the following sets, find the set A U (B n C). U={1, 2, 3, ..., 8} A = {1, 2, 3, 4} B= {2, 3,…

A: A set is a collection of elements. The elements that make up a set can be any kind of mathematical…

Q: Let A = {a, b, c},B = {b, c, d},and C = {b, c, e}.(a) Find A ∪ (B ∩ C),(A ∪ B) ∩ C,and (A ∪ B) ∩ (A…

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Q: determine which of the following sets are equivalent to the set (x,y,z) a. (w,x,y,z) b. (1,5,17)…

A: A set is a well-defined collection of objects. The objects, which belong to the set, are called…

Q: Use the following sets to define each set below. A = (4, 7, 10, 14, 17, 20) B = (1, 4, 9, 14, 20)…

A: Given that  A={4,7,10,14,17,20} B={1,4,9,14,20} C={2,3,7,10,17}

Q: . Let A = {w, x, y, z} and B = {a, b}. Use the roster notation to write each of the following sets,…

A: To use roster notation to find elements of cartesian product of given sets.

Q: Find the set P([a, b]) x P({0,1)).

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Q: Given the following sets, perform the indicated set operations: U = {0, 1, 2, 3, 4, 5, 6, 7, 8, 9,…

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Q: Let A = {1, 5, 9} and B = {1, 2, 4, 7}. Determine the set A × B

A: Given that Let A = {1, 5, 9} and B = {1, 2, 4, 7}. To determine Determine the set A × B

Q: Find the union and intersection as indicated, given the following set: A={0,4,8,12},…

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Q: Decide, among the following sets are subsets of one and another: A={x:x ER and x satisfy : x - 4x +3…

A: