Have a look at the following sets. A = {x, y, z, t}, B = {s, t, u, v, w, x}, C = {t, v, u, s}, D = {s, t, u, v} State whether each of the given conditions is correct, incorrect or meaningless. (a) t ⊂ D (b) D ⊆ B  (c) B=C

Q: In each of the following, draw a Venn diagram for sets A, B, and C that satisfy the given…

A:

Q: Let A, B, C be three non-empty sets. Suppose that A× C = B× C. Prove that A = B

A: Here given that A, B, C be three non-empty sets. And suppose that A×C=B×C. We have to prove that…

Q: Let A and B be subsets of a universal set U and suppose n(U) = 300, n(A) = 150, n(B) = 120, and n(A…

A: Please see the below explanation.

Q: Let A, B, and C be subsets of a universal set U and suppose n(U) = 150, n(A) = 27, n(B) = 29, n(C) =…

A: We have given  Let A, B, and C be subsets of a universal set U   n(U) = 150, n(A) = 27, n(B) = 29,…

Q: Prove that for sets A and B, if A C B then P(A) C P(B

A:

Q: State whether the following claim is true and explain why. (a) Claim: For all sets A, B, and C: (A –…

A:

Q: Explain whether each of the following sets is countable or uncountable.  A= {x∈Q|−100≤x≤100}…

A: A= {x∈Q|−100≤x≤100} This is the subset of Raitional Number. And we know that Rational number Q is…

Q: d) Let X,Y, Z be sets. Calculate |XUYUZ if |X| = 50, [Y|= 90, |Z| = 71, |XnY| = 8, |Xn Z| = 9, |Yn…

A:

Q: Here is some more practice on calculating the number of elements in a set. 10. Suppose A and B are…

A: Given ,           AC U          BC U          nA=73         nB=56        nU=150To find → nA' &…

Q: (3) For sets A, B, and C in some universal set U, prove or disprove the following. (a) AnC = B nc =…

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

Q: Given Universal Set = { a,b,c,d,e,f,g,h,i,j}; A = { a,b,c,e,g,h}; B = { b,c,e,f,h,i}; C = {…

A:

Q: Let A, B be any sets with ACB. Then* |P(B × B)| > |P(Ā × B)| O None of these the above is true |P(A…

A:

Q: Prove that for sets  A and B,  we have  (A∪B)−(A∩B)=A−B if and only if B⊂A.

A: By theorem we know that,            A⊂B if and only if A∩B =A and  A∪B =B

Q: Let N = {m,y}}. List all the subsets of N. Let A = {j,g}. Is empty set a subset of A? Consider these…

A: Consider the given set  N=m , y Now, the subsets of the set N are,  , m , y , m , y Hence, there are…

Q: Consider the set M = {m,a,{t,h},e,m,{a,t,î},c,s}. 1. What is the cardinality of M?

A: M = { m,a, {f,h} , e,m, {a1, i} ,e ,s}1. Carbimalty of M = 72. No, {m,a,f,h} is not a properSubser…

Q: Find a counterexample to show that the statement is false. Assume all sets are subsets of a…

A: The solution is as shown below

Q: Let C and D be subsets of a universal set U, then (C ∪ D) ⊆ (C ∩ D).

A: Given C and D are two subsets of universal set U.

Q: Prove formally that A\ B= A\(An B), for any sets A and B.

A:

Q: Determine the cardinality of each of the following sets. a. A x B, where A = {a, b, c, d, e}, B…

A: a) A=a,b,c,d,e, B=xb) a,b,cc) d) Φ,Φ,Φ,a,

Q: 4. Find the following sets, which are subsets of R2. (a) U {a} x [0,1], (b) N {a} × [0,1], aeR aER…

A: Note: According to Bartleby guidelines; for more than three questions asked, only the first three…

Q: Let C and D are be the subsets of some universal set U. Then D-C = C'nD is

A: We have to identify the statements as true or false.

Q: Disprove the following statement by finding a counterexample. For all sets A, B, and C, AU (B N c)…

A: We can disprove this by using counter example

Q: Suppose that A, B, and C are sets such that A ⊕ C = B ⊕ C. Must it be the case that A = B?

A:

Q: 17. Which of the following accurately defines the complement of a given set, say A? A. {x|x€U and…

A: Complement of any given set is defined by all the elements in the universal set U which do not…

Q: Refer to the following Venn diagram, and list the points that belong to each set. (Enter your answer…

A: Consider the given Venn diagram, which is given in the question. From the Venn diagram…

Q: Let U be the set of restaurants in Los Angeles, B be the set of barbecue restaurants in Los Angeles,…

A: Given Information -  U is the set of all restaurants in Los Angeles B is the set of barbecue…

Q: The lists below show five agricultural crops in Alabama, Arkansas, and Louisiana. Alabama Arkansas…

A: Set A:{s,p,c, hay, w}Set K:{s,r,t,hay,w}Set L:{s,sugarcane,r,c,t} Find A'∩K'

Q: Use the Venn diagram to list the set B-A' in roster form. U A b h O A. B-A'={b,c,t,w} O B. B-A'=…

A:

Q: , and C be subsets of a universal set U and suppose n(U) = 200, n(A) = 26, n(B) = 28, n(C) = 32, n(A…

A: Let A, B and C be the subsets of a universal set U . nU=200, nA=26,n(B) = 28, n(C) = 32, n(A ∩ B) =…

Q: Consider the following theorem of set theory: For any two sets A, B, [A U (B – A)] = A U B. a.…

A:

Q: Arrange the choices in order 1,2,3.. to prove: For any sets A, B and C Ax (BUC) = (A x B) U (A x C),…

A: SOLUTION-

Q: Suppose that A and B are two sets such that n[A]= 5, n[B]= 9, and n[A U B]= 13. If n[U]= 19, then…

A: The given values are nA=5,nB=9, and nA∪B=13. Also nU=19.

Q: Draw the Venn Diagram of the following sets: (А — B)n (С — В) b. (AП B) n (В — С) (An C)U (B n C) d.…

A: Hey, since there are multiple sub-parts posted, we will answer first three sub-parts. If you want…

Q: Prove the following:Suppose thatX is a tidy set. Then for any sets a and b, if a ∈ b and b ∈ X, then…

A: Consider,X be a tidy set that represent all data set that each column is a variable and each raw is…

Q: Let A, B, and C be non-empty sets. Then C×B×A=C×A×B if and only if * O None of these O A=C O B=c O…

A: A, B, and C are non empty sets

Q: Decide which of the following represent true statements aboutthe nature of sets. For any that are…

A: (c) Given- A∩B∩C=A∩B∪C   To find- Whether the above statement is false or true. Concept Used- Using…

Q: Let A, B and C be the subsets of U. Then prove that (A UB) -C = (A – C)U(B – C) by using laws of…

A: 1) It is the question of computer science.

Q: Let A, B, and C be subsets of a universal set U and suppose n(U) = 150, n(A) = 27, n(B) = 29, n(C) =…

A: A set is the mathematical model for a collection of different things; a set contains elements or…

Q: Given the following sets X= {a,b,c} Y= {a} Z= {a,d} In the universe U= {a,b,c,d,e}, what is (X’…

A: Sample Space (SS): The total number of possible outcomes of an event is called Sample Space and it…

Q: Given the following sets X = {a,b, e} {a} {a, d} in the universe U = {a,b, c, d, e}, what is (X'nY)…

A: we have given sets X, Y, Z and U be an universal set.  We have to find the following

Q: Part 1: Proof that P(A N B) C P(A) N P(B). To prove part 1, select options from the list and put…

A:

Q: Let A, B, and C be sets. Does A – C = B – C imply A = B? If so, prove it. If not, give a…

A: We have to give a counter example for  A – C = B – C imply A = 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}, and C = {v, W, x, y,…

A: Given Information -  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} We have…

Q: Let A, B, and C be sets. Prove that if A CB and B C C, then A C C.

A: Let, x belongs to A. Since, A is a subset of B, so, x belongs to A implies that, x belongs to B. So,…

Q: Let A, B, and C be non-empty sets. Then C×B×A=C×A×B if and only if * O None of these O A=C B=C A=B=C…

A: Given :- A, B and C are three non empty sets. To complete the statement. C*B*A = C*A*B if and only…

Q: Let A, B be any sets with BCA. Then |P(B×B)[s|P(A×B)| O IP(AxB)|s|P(B×B)| O IP(AxB)|=|P(B×B)| O None…

A:

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: Let A, B be any sets with ACB. Then O None of these O IP(B×B)|s|P(A×B)| O IP(A×B)|s|P(B×B)| O…

A: Cardinality of a power 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}, and C={v, w, X, y, z}.…

A: To find  The elements of the set shown below.