Determine whether the set S spans R4. If the se S = {(1, 1), (-2, 1)} O S spans R4. Os does not span R. S spans a line in R-. O s does not span R4. S spans a point in R.

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

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Q: consider the following sets: U = {-5,-4,-3, -2,-1,0,1,2,3,4,5}, A = {x: x² = 25}, B = {-5,0,1,2,3,4,…

A: We have to find

Q: Find the complement of the set given thatU = {x | x E I and -3 <x 7}. %3D {-3, -1, 3, 6, 7}

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Q: -2 and a2 = For what value(s) of h will the set {a1, a2} span R?? Let aj = h + Question Help:…

A: a1=-24 and a2=h6

Q: For sets A and B, define the symmetric difference of A andB by ΑΔΒ (Α-Β) υ (B-). %3D Define A =…

A: We have to find the number of elements in the required set.

Q: • Show that if D is a set and E is a closed set containing D, then E must contain ƏD, i.e., the…

A: according to our guidelines we can answer only three subparts, or first question and rest can be…

Q: , B, and C which satis

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

Q: sets A, B, and C that satisfy the given conditions. a. ANB=Ø, ACC, CNB ±Ø b. АС В, СС В, АПС+0 с.…

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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…

A: First we write U in roster form.

Q: A set D C RP is disconnected if and only if D = EU F, where E, F are non-empty and EnF= ø,EnF = Ø.

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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: 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: 10) let R and S be two relations from A to B, then the set = { ( a, b) e A×B:( a.b) ER} is

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Q: a) Show that the set S = {(1, 2, 3), (0, 1, 2), (– 2, 0, 1)} spans R³. b) Determine whether the set…

A: See the attachment.

Q: a) Determine whether S = {(1,0, -1), (2,1,0), (3,1, –1), (1,1,1)} spans R°.

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Q: Let D=​{2​,5​,7​}, E=​{2​,4​,5​,6​} and F=​{1​,3​,4​,5​,7​}.   List the elements in the set D∪E.…

A: Given that      D = {2,5,7}      E = {2,4,5,6}   and       F = {1,3,4,5,7} Here we have to find the…

Q: Consider A = (x, y,z) and B = (w,x, y). If U = A U B, which set is equal to (B\A)'? Note: B\A = B-…

A: The union of set A and B is denoted by A∪B has elements both inset A and B The complement of A has…

Q: Which of the sets that follow are spanning sets forR3? Justify your answers. {(2, 1,−2)T, (−2,−1,…

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Q: Let U= (4. r, 5, t, u, v, w. x y, 2). A = (q, 5, u, w, y): B= (9. s. y. z) and C= (v, w, x, y. 2).…

A: Given that 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} To find B'

Q: Find c such that (4,−1),(−1,−8), and (c,−6) lie on a line. c=

A: We have to find the value of c such that the given three points will lie on a line.

Q: Let A = {e, r, a, h, t}. Which of the following sets are equal to A? (Select all that apply.) a.{x…

A: Two sets  A and B are equal if A⊂B and B⊂A A=e,r,a,h,t Let B be the set such that B=x|x is a letter…

Q: Let A be the set of students who live one km from school and let B be the set of students who walk…

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Q: Let U = {m,a,t,h,e,w,d,i,n} X = { e,w,m,a,t} y = {e,w,d,i,n} Z= {h,e,w}…

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Q: Let D = {b, a, c, k}, E = {t, a, s, k}, F = {b, a, t, h}. Using these sets, find the following: F ^c…

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Q: Consider following five sets: I.{ , } { } II. { } III. IV. { , , } V. { , } Find all set(s)…

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Q: State whether each of the following set is finite or infinite:(i) The set of lines which are…

A: :Since we only answer up to three sub parts. We’ll answer the first three. Please resubmit the…

Q: determine whether set s={(2,1),(-1,2)} spans R^2

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Q: Illustrate a venn diagram for ( D U E) c (intersection, upside down U) F sets: D ( b,a,c,k).      E…

A: Given sets areD= {b, a, c, k}E= {t, a, s, k}F= {b, a, t, h}Universal set U is = {a, b, c, h, k, s,…

Q: Which of the following could be considered as NOT an equal set? B = (x : xe Z, -3 < x 0}; C = {0,…

A: Equal sets are the two sets having same element.

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: Given the following sets (where U represents the Universal set), identify the correct Venn Diagram…

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Q: Which of the following sets best describes the shaded part of the Venn diagram? (B'AC}UA (CnA) UB Di…

A: Let'do it in two steps. As a first step let's explore:  This is the shaded portion in the diagram…

Q: Which of the following sets is R It stretches (produces) ? Why? a.{(1,1), (2,2)} b.{(0,0), (1,1)}…

A: Simple basis problem....

Q: • Show that if D is a set and E is a closed set containing D, then E must contain ðD, i.e., the…

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Q: Let A, B, and C be arbitrary sets. Determine if the given relationship is correct or incorrect. АВС…

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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: Give an example of sets S and T where P(SUT)メP(S) U P(T)

A: Let, S={3,7} and T={4} be any set and P(SUT) be a power set of union of S and…

Q: Use the given sets to find D∪(E∩F) U={a,b,c,d,…,x,y,z} D={f,l,a,u,n,t} E={p,a,i,n,t}…

A: We can use the set theory in order to solve the above problem.

Q: The set Dom(R)={a_eA: (b; a) e Rfor some b eB}is called the domain of R Ture False O

A: Domain is the input values of any relation and range is the output values of the relation.

Q: Let X=R and B={] a, b] /a, b belong to R, a

A: Given set is closopen (close and open) in R.

Q: Determine whether the set S spans R. If the set does S- ((-1, 3), (3, -1), (2, 2)} O s spans R2. O s…

A: Given is set S

Q: Determine whether the set S spans R2. If the set does not span R2, then give a geometric desaription…

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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: Choose any that represents an ordered pair. (John,Smith) {a,b} {2,3} (1,{1,2})

A: We have to choose ordered pair

Q: Suppose {p, p,, P3} is an affinely independent set in Rn and q is an arbitrary point in Rn. Show…

A: Here, {p1,p2,p3} is an affinely independent set. So, {p1,p2,p3} are linearly independent.

Q: Express the set in roster form. B= {x| xEN and x is even) Choose the correct answer below. O A. B=…

A: Please refer the attached image for complete solution.

Q: ---A 2 Let aj 1 and ag -10 The set {a1, az, ag} will span R unless h

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Q: Which of the following set S is a spans R": a. S = {(2, 1), (2, 1)} b. S = {(1, 2, 3), (3, 2, 1)} c.…

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Q: Which of the following is not in R={(x,y)┤|x+2=y}, where R is a subset of A×A and A={1,2,34,5}? a.…

A: Solution