Let A = {a, b, c}, B = {b,2, c, 1} and S, the universal set, be {a, b, c, 1, 2, 3, 7}. Compute %3D a) the union of A and B, the intersection of A and B, the complement of A, the complement of B, A\B and B\ A b) (S\ A)n (S\B).

Q: Show that the set S = {(1, 2, 3), (0, 1, 2), (−2, 0, 1)} spans R3.

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Q: Let S be the universal set, where: S = {1,2, 3, ..., 18, 19, 20} Let sets A and B be subsets of S,…

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Q: 2. Find sets A, B, C, D such that the sets (AN B)U (C\ D), ((An B) U C) \ D, An(BUC) \ D, An(BU(C\…

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Q: Construct a Venn diagram illustrating the sets below. U={1, 2, 3, 4, 5, 6, 7, 8, 9} W={1, 4, 5, 6,…

A: first we will find the intersection of each then find the intersection of the two then draw

Q: Let T be the set of all TSU students. Determine if (T, R) a poset or not if R = {(a, b)|a ∈ T, b ∈…

A: 1 We  List all of the ordered pairs in the relation R = {(a, b)|a + b is even} on the set {1, 2, 3,…

Q: Let set A be the set of face cards and B be the set of all spades in a regular deck of cards. State…

A: There are 12 face cards in a regular deck of cards and 13 spades in a regular deck of cards. Set A:…

Q: Consider the following sets: U = {2, 3, 4, 6, 8, 9, 10, 12, 14, %3D 15} |А%3D {3, 6, 9, 12, 15} В…

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Q: {(x,a),(x,b),(x,c), (y,a),(y,b),(y,c)} is the Cartesian product AXB of two sets given as A = {x,y} B…

A: Let A and B are two sets. Cartesian product of A and B will be denoted by  A×B                A×B…

Q: Let U=​{q,r,s,t,u,v,w,x,y,z}, A=​{q,s,u,w,y}, and B=​{q,s,y,z}. List the elements in the set (A ∩…

A: we know that , X ' = U - X

Q: Let S={a, b, c, d, e, f, g, h, i, j} be the universal set, A={c, e, f, h}, and B={a, b, c}. Find the…

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Q: Let U = {1, 2, 3, 4, 5} be the universal set. Let A = {1, 2, 3}, B = {1, 3, 5}, and C = {2, 4, 5}.…

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Q: If U is the set of all multiples of 3 less than 20, and M={3,12,18}, find Mc (the complement of M).…

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Q: Let the universal set U = {a , b, c, d, e, f,g, h}, A = {a , b , c, d, e}, B = {a , e, h}, and C =…

A: The set B' contains the elements which does not belong to the set B but belongs to the set U. The…

Q: Let U = { 1, 2, 3, .. ., 16}, C = {1, 3, 5, . . . , 15 }. Use the roster method to write the set C'.

A: We have to find

Q: S={1,2,3,...,18,19,20}S={1,2,3,...,18,19,20} Let sets AA and BB be subsets of SS, where: Set…

A: Given universal set is, S={1,2,3,...,18,19,20} and the sets A&B are, A={1,4,6,11,12,14,18,19,20}…

Q: Which sets are compact? The union of [0, 1] and [2, 3]

A: Concepts introduction: Theorem (Heine-Borel Theorem): A subset S of R is compact if and only if S is…

Q: et UU be the universal set, where: U={a,b,c,d,e,f,g,h,i,j,k}U={a,b,c,d,e,f,g,h,i,j,k} Let sets AA,…

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Q: Construct a Venn diagram illustrating the sets below. U={1, 2, 3, 4, 5, 6, 7, 8} Y={1,4, 6}…

A: Given U=1 , 2 , 3 , 4 , 4,  5 , 6 , 7 , 8  Y=1, 4 , 6Z=2 , 4 , 5 , 6clearly Y∩Z=  4

Q: Let U = {q, r, s, t, u, v, w, x, y, z} A = {q, s, u, w, y} B = {q, s, y, z} C = {v, w, x, y, z}.…

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Q: Create three non-empty sets A, B, C, that show this statement is FALSE: For all sets A, B, C: A- (Bn…

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Q: Let R, S, T be subsets of the universal set U such that n(U) = 64, n(R U S U T) = 45, n(R) = 22,…

A: We will draw a Venn diagram using the given information: n(U) = 64, n(R U S U T) = 45, n(R) = 22,…

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: If A is set of all vowels in alphabets.Then number of subsets of A is

A: Given: A contains all vowels  So, A = a, e, i , o , u Number of elements in A = 5

Q: How many subsets are there for the set {h, j}?

A: The given set is {h, j}.It is known that, “If a set contains ‘m’ elements, then the number of…

Q: Prove T = { ... , −56, −42, −28, −14, 0, 14, 28, 42, ... } is a countable set

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Q: Let UU be the universal set, where: U={1,2,3,4,5,6,7,8,9,10}U={1,2,3,4,5,6,7,8,9,10}  Let sets AA…

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Q: Let A = {a,b,c,d} be the set containing the four elements a, b, c and d. Let S = {X |X is a subset…

A: Sets

Q: Let UU be the universal set, where: U={1,2,3,...,18,19,20} Let sets A and B be subsets of U,…

A: The universal set U=1,2,3,....,18,19,20set A=2,4,7,8,10,14,16,17,18set B=10,12,14,17set…

Q: Let S be the universal set, where: S = {1, 2, 3, .., 18, 19, 20} Let sets A and B be subsets of S,…

A: Ans - Given, the Universal set           S = {1, 2, 3, ..., 18, 19, 20}    and   Set  A = {1, 3, 9,…

Q: Find the intersection of the sets. {r, e, a, l}∩{l, e, a, r}

A: Given:A=r,e,a,lB= l,e,a,rIntersection set:The set containing all elements of A that also belong to…

Q: Determine whether or not the set {(2, 21, 0), (1, 2, 5), (7, 21, 5)} islinearly independent over R.

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Q: Let A {p, q, r, s, t}, B = {s, t, u, v}, and C = {p, r, t, u}. Find the set. An C {p, r, s, t, u, v}…

A: See attached file for a step by step explanation to find the required set.

Q: Let A = {a, d, e}, B = {s, e, d, 4} and R, the universal set, be {a, d, e, s, 4, 5, 6}. a) Compute…

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Q: Let U be the universal set, where: U = {a, b, c, d, e, f, g, h, i, j} Let sets A, B, and C be…

A: SOLUTION-

Q: Let U = {q, r, s, t, u, v, w, x, y, z}, A= {q, s, u, w, y}, B= {q, s, y, z}, and C= {v, w, x, y, z}.…

A: To find  A intersection of B'

Q: Let U = {q, r, s, t, u, v, w, x, y, z} A = {q, s, u, w, y} B = {q, s, y, z} C = {v, w, x, y, z} List…

A: Here we list all the elements of the set .

Q: Let U = {q, r, s, t, u, v, w, x, y, z} A = {q, s, u, w, y} B = {q, s, y, z} C = {v, w, x, y, z}. %3D…

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Q: Let A={x,y,z,1} and let B= {1,2,4}. If a set  U= (A x B) U (B x A), how many elements are there in…

A: Recall the following facts.

Q: Let U={q,r,s,t,u,v,w,x,y,z}A={q,s,u,w,y}B={q,s,y,z}C={v,w,x,yz}. List the elements in the set.A'uB

A: Given , U = { q, r, s, t, u, v, w, x, y, z }A = { q, s, u, w, y }B = { q, s, y, z }C = { v, w, x, y,…

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: Let UU be the universal set, where: U={1,2,3,4,5,6,7,8,9,10}U={1,2,3,4,5,6,7,8,9,10}  Let sets AA…

A: From the sets

Q: 2. Let U = {a, b, c, d, e, f, g, h} be the universal set, and let A = {b, c, d, f, g}, B = {a, b,…

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Q: b) The number of elements of the set A = {{{Ø}}, {{Ø}} n {Ø}, {Ø} U {Ø, {Ø}}} equals

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Q: Let U = {1,4,5,8,9,10,13,15,16}, X = {4,8,10,15}, Y = {4,5,8,9,10}, and Z = {1,4,5,15,16}. List the…

A: Given:     U=1,4,5,8,9,10,13,15,16    X=4,8,10,15    Y=4,5,8,9,10  Z=1,4,5,15,16 Find:…

Q: Let UU be the universal set, where: U={a,b,c,d,e,f,g,h,i}U={a,b,c,d,e,f,g,h,i} Let sets AA, BB, and…

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Q: Let Z = {a, b, c, d}. What is the cardinality of the Power Set of Z, |P(Z)|?

A: Power set:Power set of any set S is the set of all subsets of S, including the empty set and S…

Q: {(x,a), (x,b), (x,c), (y,a), (y,b).(y,c)} is the Cartesian product AXB of two sets given as A =…

A: our objective is to find A

Q: Suppose U = {{a, b), a, c, d, {a, d), e) is a universal set with the following subsets: A = {(a, b),…

A: