Find the union of the sets. {e, m, p, t, y}∪∅

Q: Write union and intersection of the following sets: а. А%3D {1,2, 3, 4};B В%3D {2, 4, 6, 8} b. А%3D…

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Q: Find the intersection of the sets. {s, e, t}∩{t, e, s}

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Q: Determine the number of subsets for the set T = {a, b, c}

A: topic- number of subsets number of subsets of set with n elements are 2n

Q: For any sets A and B , (ANB) = %3D O a. ANB O b. ANB Oc. B-A С. В- А O d. U-B

A: By using identities of set theory :

Q: , B, and C which satis

A: Given as, A= {1, |B|, |C|} B= {2,| A|, |C|} C= {1, 2, |A|, |B|}

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: Shade the region of the Venn Diagram indicated by the following sets.. (i)r (ii) (iii) A B C (A'U B)…

A: (i) First we find A'∪B The blue shade is A'∪B. Now we find (A'∪B)∩C Blue part is the shade for…

Q: Consider the sets A={a, e, i, o, u} and B={c, m, n, r, s, v, w, x, z}. Which of the following is not…

A: Consider the sets A={a, e, i, o, u} and B={c, m, n, r, s, v, w, x, z}. Which of the following is not…

Q: True or false? A∩(B∪C)=(A∩B)∪(A∩C) You should determine this by building the Venn Diagram for each…

A: Given statement is A∩(B∪C)=(A∩B)∪(A∩C)

Q: Which of the following sets are equal? B = {d, e, a, c} A = {a, b, c, d} C = {d, b, a, c} D = {a, a,…

A: The given sets are A = {a, b, c, d}, B = {d, e, a, c} C = {d, b, a, c} and D = {a, a ,d, e, c, e}.It…

Q: Shade the portion of the diagram that represents the given set. AU (B n C' ) B B) C C) D) none of…

A: We know that in Venn diagram A∪B∩C' will be complete A and part of B which not include C So, option…

Q: Use the given sets to find D∪(E∩F)D∪(E∩F). U={a,b,c,d,…,x,y,z}U={a,b,c,d,…,x,y,z}…

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Q: Example: Find (A U B)' n C for the sets A, B and C depicted below. UA 8. SMAno 20 15 10 5 9. 3. 62…

A: The detailed answer and explanation is given below-

Q: In the poset represented by the Hasse diagram, consider the set {e, h, i}. The upper bound of this…

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

A: Given, A = {1,2,3,4,5,6} B = {3,4,5,6} C = {1,2,6,7,8} Now,  we have to find A∩B∪C   and  A∩B∪C

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: De Morgan's law states that for any sets A and B a. (A U B)' = A' n B' c. (A U B)' = A' UB' b. (An…

A: We want to state Demorgan's Law

Q: Let U be the universal set with disjoint subsets A and​ B, where n(U) = 37​, n(A) = 8​, and n(B) =…

A: first we will find the value of n(A'∩B') we know according to De Morgan's law  A'∩B' =…

Q: Given a finite set S, find all possible values of |S] so that the set {(a, b) | (a E S) A (b e S) ^…

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Q: Disprove: For all sets A, B, C, and D, (AUC) × (BUD) C (A × B) U (C × D).

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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: Select the law that establishes that the two sets below are equal: Gn (GU Z) = G OAbsorption Law O…

A: Sets identities

Q: Find an example of sets A and B such that |A|=3,|A|=3, |B|=4,|B|=4, and |A∪B|=5.

A: Let A = {2, 3, 4} and |A|= 3 and B = {2, 4, 6, 8} and |B|= 4 The union of set A and B is the set of…

Q: Find sets A, B and C such that A ∩ B,    B ∩ C and A ∩ C are non-emptysets and A ∩ B ∩ C = φ.

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Q: Draw using Venn Diagram and prove whether it is true or false, that: A O (BU C) = (A O B) U (An C)…

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Q: Find the intersection of the sets. {a, b, c, d}∩∅

A: Given sets are {a, b, c, d} and an empty set ϕ

Q: Let A, and Az be two subsets of R. Show that m. (A, x A2) S m*(A,) m*(A2).

A: To prove: m*(A1 * A2) ≤ m*(A1) m*(A2)

Q: Does the set S = {(1,2, 3), (0, 1, 2), (-2,0, 1)}span R³? %3D O Yes O No

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Q: If A is the subset of B, then simplify the following possible : a. A' U B' b. (A n B) ' c. (A U B)'…

A: (a) given, A ⊆ B, so, B' ⊆ A'  Hence, A'∪B' = A'

Q: b) B = {(x, y) : x² < e*+3y < 5y + 4x},

A: The objective is to find the closure of the given set.

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

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Q: the diagram for the intersection of sets A and B.

A: Basic concepts intersection of two sets- Let A and B are any two sets, then the intersection of sets…

Q: Given U = {a,b,c,d,e.f.g.h.ij) A = {b,d.f,hj} B = (e,f.g,h.ij} find the following sets. a. {f,hj} b.…

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Q: Shade the regions representing the set. A'UB B

A: Given data: The first set given is  A. The second set given is B.     The expression for A' is,…

Q: The intersection of sets A and B is denoted by which of the following?(a) A ∩ B (b) A ∪ B (c) A ⊆ B…

A: Sets are represented as the collection of different objects . There can be a finite set or an…

Q: Find the Cartesian product of the following sets: Let A = {a, b, c, d}, B = {1, 2, 3}, and C = {5,…

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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: List the elements ot Hhe Sets in a-h A) AnB B) Bnc c) Anc D) ANBAC E) AUB +) B UC f) BUC G) AUC H) A…

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

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Q: Find the union of the sets {a, e, i, o, u} ∪ ∅

A: Given: The set {a, e, i, o, u} and ∅ function. {a, e, i, o, u} ∪ ∅ To find: The union of the set.

Q: Consider the Venn diagram shown below. For each of (i)–(iv), copy the diagran and shade the region…

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Q: Consider the two sets A={a, e, i, o, u} and B={c, m, n, r, s, v, w, x, z}. Which of the following is…

A: Given :               The sets A = a,e,i,o,u   and B = c,m,n,r,s,v,w,x,z

Q: Is the set {A, T,1} complete? Support your answer.

A: For a set of operators to be functionally complete, the set can be used to express all possible…

Q: 1. Find the union C1U C2 and the intersection C1NC2 of the two sets C1 and C2, where (a) C1 = {0,1,…

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Q: Let A and B be two sets such that n(A) = 3 and n(B) = 2. If (x, 1), (y, 2), (z, 1)are in A × B, find…

A: In AxB the first element will be from A and the second element will be from B So, x,y,z are in A And…

Q: Given U = {a,b,c,d,e,f,g,h,ij}, A = {b,d,f,hj} B = {e,f,g,h,ij} find the following sets. a.…

A: Here, the given sets are: U=1,b,c,d,e,f,g,h,i,jA={b,d,f,h,j}B={e,f,g,h,i,j}

Q: Consider the sets to answer the following questions attached: A = {a, b, c, d, e, f, h, j} B = {a,…

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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”.