1. Let A and B be two finite sets such that n(A) - 20, n(B) - 28 and n(A u B) 36, find n(A n B). а. 10 b. 11 с. 12 d. 14

Q: (e) Either the plant at site 1 or both of the other plants are completed by the contract date. O A,…

A: It ia asked that either the plants at site 1 or both of the other plants are completed by the…

Q: Let X = {1, 2, 3, 4, 5} and Y = {7, 11, 13} are two sets. find R = {(x, y): x EX and y EY and (y * –…

A: R has three elements.

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

A: Example of such set A,B,C,D are given below

Q: 4. Prove that, for any sets A and B, it is true that A C B iff AnB = A. Hint. There are two…

A: The intersection is a set operation. The intersection of finite number sets consists of elements…

Q: 2. Let A = {r|x is older than 25}, B = {y|y_is older than 50}, C = {z |z is between 20 and 30}. Draw…

A: The question is related to sets. The solution is explained below.

Q: If the brunch consists of 1 drink, 1 muffin, and 1 type of fruit, then the number of possible…

A: As per honor code, we are entitled to solve only 1 question at a time so I am providing the same.…

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

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Q: TION 4 If A, B, C be three sets such that Au B = AUC and ANB = ANC, then : O B = C O A = C O A = B =…

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Q: 3. List all the entries of the following sets: a) A = {a la € Z+ and -11 < a ≤ 11} b) B = {b | b =…

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Q: Express (4, 10) as a set {x : |x – al < c} for suitable a and c.

A:

Q: How many proper subsets does the set T={h,f,k} have

A: A set is given by, T = h, f, k. The objective is to find the number of proper subsets the T have.

Q: (4.2) For sets A, B and C, prove that (An B) x C = (A x C) n(B x C).

A: Here we have to prove that (A∩B)×C=(A×C)∩(B×C)

Q: Suppose R and S are relations on {a, b, c, d}, where R = {(a, b), (a, d), (b, c), (c, c), (d, a)}…

A: we have given relations R and S on {a, b, c, d} and we need to find composition R∘S

Q: 21. For E = {a, b}, construct dfa's that accept the sets consisting of (a) all strings of even…

A: NOTE: According to bartleby  guidelines we have to answer only first three subparts please upload…

Q: 2. Given: n (U)3D30 , n (A )= 9, n (B) = 7, and n ( ANB)= 3. Draw a Venn Diagram to illustrate the…

A: Since you have posted multiple questions , as per the guidelines we will solve the first one for…

Q: Let X, Y subset U. Suppose that n(X)= 22, n(Y)= 20, and n(X intersect Y)= 16. How many elements are…

A: Let X,Y be subsets of U.  nX=22 , nY=20 and nX∩Y=16 It is given that nU=40. Find nX'∪Y:

Q: Suppose n(ANB) = 3, n(AUB) = 38, and n(A) = 18. Use a Venn diagram to determine n(B). n(B) = %3D

A: Given n(A∩B) = 3,  n(A∪B) = 38andn(A) = 18

Q: The number of non-empty subsets of B is |{S:SC A, S = 3 and Sn B = 0}| = max {|S|: SC AUB, SNA| is…

A: Given that A and B are finite sets satisfying A=6, B=7, A∩B=2. Since, B=7. So, total number of…

Q: 1. (a) (i) What does nMn N] = 0 imply about sets M and N? (ii) What is implied about sets A and B if…

A: As per the guidelines, we are supposed to answer only one question at once. Kindly repost the…

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: (4) Prove by contradiction, for any sets A and B, if ACA- B, then An B= Ø

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Q: -16] --14] Let ai -20|, a2 = -16 and az = –18 -4 -4 -4 The set {a1, a2, az} will span R' unless h =

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Q: 4. Prove that, for any sets A and B, it is true that A C Biff AnB = A. Hint. There are two…

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Q: Use the listing method to express the set S = ((1,3] x {2,4}) n z².

A: Given, S=(1,3]×{2,4}∩ℤ2 We have to express it in the Listing method, As we know, ℤ2=(a,b) where…

Q: 21. Which of the following is/are a mll set? 1. (r:z is prime and 7 <S 10} A I and II only B. I only…

A: As this is a multiple question type, only first question is to be solved, according to the Bartleby…

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: 2. Let A = {r | r is older than 25}, B = {y |y _is older than 50}, C = {z | z is between 20 and 30}.…

A:

Q: List the elements of set D = { x:x є N, x is a multiple of 5} where N= {1, 2, 3, ...}.

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Q: 2) Explain how you count the number of elements in the set A = {n EN| n <500 and gcd (n, M) = 1},…

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Q: 1. Which of the following sets are equal? А 3D (а, b, с, d} C = {d, b, a, c} В 3 [d, е, а, с) D =…

A: Hey, since there are multiple questions posted, we will answer first question. If you want any…

Q: (a) prepare the list of the eler separate Venn- diagrams. ii. (PUQ)NR Ing sets by drawing iii. PUQ…

A: 4. (a) (i) Venn diagram of P∪Q is,

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: 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: 1. Decide whether the folloring stabe ments ae false . Justify true or (a) YxeTR, ¥yeR, x²-y² z xy…

A: 1. a ∀ x ∈  R, ∀ x ∈  R, x2+y2 ≥ 2xy  TRUE. Because,  ∀ x ∈  R, and ∀ x ∈  R we have (x-y)2 ≥ 0.…

Q: Consider sets A={1,3,5} and B = {2,4,6}. Find A U B

A: The given sets are A={1,3,5} and B = {2,4,6}. The union of any two sets is the set of all the…

Q: Suppose that X, Y are subset of U. If Pr(X)= 0.35, Pr(Y)= 0.36, and Pr (X intersect Y)= 0.09, what…

A: Given Suppose that X, Y are subset of U. If Pr(X)= 0.35, Pr(Y)= 0.36, and Pr (X intersect Y)= 0.09

Q: 13) From the adjoining Venn diagram, find the following sets. 3 4 2 10,7 8 Save (i) A (ii) B (iii) ž…

A: According to our guidelines we can answer only three sub-parts and rest can be reposted.

Q: Express (4, 10) as a set {x: Ix - al&lt; c} for suitable a and c.

A:

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: O AC Biff P(A) C P(B).

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

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

A:

Q: Determine how many one-to-one correspondences are possible between two sets, {p, s, z, w, v} and {1,…

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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: 4. Define two sets, call them A and B, that makes the following statement true; if it is impossible…

A:

Q: (c) Show that the set {r EN | x² % 4 = 1} is equal to the set {EN | x² % 8 = 1}.

A: Two sets are said to be equal if the number of elements in both the sets are equal. Now, we have one…

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: d) Let X, Y, Z be sets. Calculate |X UYU Z| if |X| = 50, |Y| = 90, |Z| = 71, |X n Y| = 8, |Xn Z| =…

A: Given that X, Y and Z be the three sets.

Q: (2) Let S := {1,..., n}. Compute the number of towers of length of the form A1 c A2 c S, where A1 +…

A: A tower of length  set is a basically chain of subsets of different size.

Q: 31) Find two sets af poler Coorelinates for tue pornt (0,-4) Jer OLQL2T Auywers's 37 テノ, (16,…

A: