Which of the following sets is (are) closed under multiplication? Explain why or why not. d.{0, 1} e.{2, 3, 6, 9, 12, . . . } f.{1, 32, 33, 34, . . . }

Q: Which of the following sets are close under MULTIPLICATION? Choose ALL that apply. I. The set of…

A:

Q: Which of the following sets spans R {(1,1,1), (1,1,0), (1,0,0)} {(3,0,-2)}…

A: This question is related to Linear Algebra

Q: Consider the following sets: U = {a, b, c, d, e, f,g,h, i,j,k} А %3D (а, b, с, d, e } B = {a,b, c} C…

A:

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…

A:

Q: Which of the following sets spans R? O {(3,0,-2)} O (3,0,-2),(0,0,0)} O ((3,0,-2).(5,1,0).(0,-1,1)}…

A:

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: Which of the following sets spans R³? O {(-3,0,2).(0,0,0)} O {(-3,0,2),(5,1,0),(0,-1,1)} O None of…

A:

Q: set

A: Given: U=​{1,2,3,...,17​} A=​{4​,5​,7​,8​,17​} B=​{5​,6​,7​,9​}

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: 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: Determine if the following sets are closed under multiplication. a. (1,18) b. {2k + 9|keW} c.…

A:

Q: Which of the following sets spans IR³? O ((0,1,-1),(0,0,0) O {(-3,0,2).,(5,1,0),(0,1,-1)} {(0,1,-1)}…

A:

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: Which of the following sets spans R°? O {(-3,0,2),(0,0,0)} O {(-3,0,2).(5,1,0),(0,-1,1)} None of…

A: Option B is correct

Q: Consider the following sets, A = { a, b, c, d } B= {e, f, g} C={a, b, c, d, e, f} Does A and B form…

A: We use the definition of partition of a set to answer the given question.

Q: Which of the following sets spans R³? {(0,1,-1)} None of these O {(0,1,-1).(0,0,0)} O…

A:

Q: Tell whether the following pair of sets is a subset, proper subset, equal set, equivalent set or a…

A:

Q: A-B

A:

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

A:

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: Which of the following sets spans R? {(3,0,2),(0,0,0)} O {(3,0,-2),(5,1,0),(0,-1,1)} {(3,0,2)} None…

A:

Q: How many elements does the following set have? {{{Ø}}, ØU{Ø}, {Ø}, {{Ø}}} 1 2

A: given set {{{∅}}, ∅∪{∅}, {∅}, {{∅}}}

Q: 27.Which of the following sets is (are) closed under multiplication? Explain why or why not. a.{2,…

A: we are supposed to do only first three subparts of a question as our company guideline please repost…

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: Write down all the subsets of the following sets:(i) {a} (ii) {a, b} (iii) {1, 2, 3}

A:

Q: 1. List the elements of each set where N= {1,2,3...} a.) A = EN|3 < x < 9} %3D b.) B = x€ N|x is…

A:

Q: Which of the following sets spans R? None of these O {(-3,0,2)} O ((-3,0,2),(0,0,0)} O…

A: As per our guidelines only one question can be solved. Solution for the 1st question is given below…

Q: Which of the following pairs of sets are disjoint and which are not ? (i) {x : x is an even natural…

A: Since you have asked multiple question, we will solve the first question for you. If you want any…

Q: Which of the following sets spans R? Select one: O a. s = {(1,2, 1), (0,0, 1), (0, 3, 4)} %3D O b. s…

A: In the question it is asked to find which sets span R3.

Q: If U = { a, b, c, d, e, f, g, h}, find the complements of the following sets :(i) A = {a, b, c} (ii)…

A: Given:

Q: Find the interior and boundary of the set: [0, 2] n [2, 4]

A: In the given question we have to find the interior and boundary of the set [0,2]∩[2,4]. Interior…

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: a) DeMorgan's laws tell us that for sets A and B, the expression (Aº n Bº)° simplifies to

A: For two sets A and B the De Morgan's Law states that A∩BC=AC∪BC.

Q: A Partition of a set has 3 subsets: A, B, and C. If Pr[A]=.25 and Pr[B]=.45, find Pr[C].

A: The provided information is,P(A) = 0.25P(B) = 0.45According to the general law of probability, the…

Q: In how many ways it is possible to partition set B = {1, 2, 3, 4, 5} into 3 nonempty subsets? O a.…

A: Given set is B = {1, 2, 3, 4, 5}

Q: Which of the following sets spans R? O (3,0,2).(5,1,0),(0,-1,1)} O (-3,0,2),(0,0,.0)} (-3,0,2)) None…

A: To finds sets that spans R3

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 =…

A:

Q: Which of the following sets spans R³? None of these O {(0,1,-1)} O {(0,1,-1),(0,0,0)} O…

A:

Q: Which of these are sets having the 2nd element as the inverse of the 1st element?  a. (D,A) and…

A: Given that: * is a binary operation.

Q: Which of the following sets of ordered pairs represen A. { (0,2), (1, 3), (2, 4), (3, 5), (4, 6) }…

A: Function: A function is a relation for which each value from the set the first component of the…

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: Which of the following diagram represent of the set notation A U (Bn C)? a. с. b. d.

A:

Q: Which of the following sets spans R3? O {(3,0,-2),(5,1,0),(0,-1,1)} None of these O {(3,0,-2)} O…

A: Dimension of R3 is 3. It means any three linearly independent elements of R3 can span it here we…

Q: Which of the following sets are closed under multiplication? 11. (i) X = {1, 2, 3, 4, ..., 30} (ii)…

A: i) If we multiply 30 and 2 from set X, then we get 30*2= 60  This is not in the set. So, X is not…

Q: Which of the following sets spans R°? None of these {(-3,0,2)} O {(-3,0,2),(5,1,0),(0,1,1)}…

A: The solution is given as

Q: Which of the following sets spans R (1,0,-2),(5,1,0),(0,0,0)} {(3,0,-2)} O((1,1,1), (1,1,0),…

A: If the set spans R3 then the vectors are linearly independent and it forms a basis and R3 must…

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

A:

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”.