Let A = {c, d,f, g}, B = {f, j}, and C = {d, g}. Answer each of the following questions. Give reasons for your answers. a. Is B C A? b. Is C C A? c. Is CC C? d. Is C a proper subset of A?

Q: (a). If S1,, Sn are open sets in C, then so is Sk. =D1

A:

Q: Suppose that A, B, and C are sets. Prove that if AC B, then AnC C BN C. Disprove that if An C CBn C,…

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Q: If A,B and C are sets, then (AUB)-C= (A – C)U(B –C). %3D |

A: 14. Given three sets A, B and C. We have to prove that A∪B-C=A-C∪B-C. In order to prove that 2 sets…

Q: S Tennis Soccer 11 5 9 30

A:

Q: Which of the following statements is true regarding the following four sets: A = Infectious diseases…

A:

Q: For all sets A, B, and C, it holds that (An C) U (B \ C) = (B U C) \ (C \ A). True False

A: We have solve the set true and false

Q: Let A = { a, e, i, o, u} and B = { a, b, c, d}. Is A a subset of B ? No.(Why?). Is B a subset of A?…

A:

Q: If p(A) =, p(B) = and p(A and B) =;, are A and B independent?

A: Given,P(A)=12P(B)=310P(A∩B)=45

Q: 1. Draw a Venn diagram showing the following: (a) Two sets A, B, where every element of B is an…

A:

Q: ) Fill in the following Venn Diagram with the cardinality of each region. Math History II. III. V.…

A: Given:  Total no. of students = 2532  No. of students taking all three subject = 389  No. of stdent…

Q: Given that U = {1,2, 3, .., 11, 12, 13} A = {3, 5, 8, 9, 13} B= {3,5, 6, 8, 9, 10, 11, 12} C = {4,5,…

A: As per our company guidelines we are supposed to answer only first 3 subparts. Kindly repost other…

Q: Show that if A ⊂ B, then C – B ⊂ C – A.

A:

Q: Given that U={1,2,3,...,18,19,20} A={1,2,3,4,6,7,10,13,14,17,18,20} B={4,5,7,9,12,13,15}…

A: Given,  U=1,2,3,...,18,19,20  A=1,2,3,4,6,7,10,13,14,17,18,20 B=4,5,7,9,12,13,15…

Q: Answer the following questions by replying to this post. Given that the elements of the sets A, B,…

A: As per the company guidelines we can solve first three parts of question. I hope that the given…

Q: Let A = {1, 2}, B = {1, 2, 3, 4}, C = {5, 6} and D = {5, 6, 7, 8}. Verify that(i) A × (B ∩ C) = (A ×…

A: i) Answer(i) A × (B ∩ C) = (A × B) ∩ (A × C) (proved)

Q: 1. Let A, B, and C be sets. Given A C B, show that (a) AnC C BnC. (b) ВС А.

A:

Q: Given the Venn Diagram where U= {2, 4, 5, 6, 9, 10, 16, 21, 23} %3D U M N 13 10 9. 6. 4 23 11 16 21…

A: In the question it is asked to calculate following terms for the Venn Diagram given in question.…

Q: (a) For all sets A, B, andC, if A ⊆ B and A ⊆ C, then A ⊆ (B ∩ C).

A:

Q: Assume that AA and BB are disjoint subsets of UU, and that n(U)=55n(U)=55, n(A)=23n(A)=23, and…

A:

Q: Let A = {1, 3, 5, 7}, B= {5, 6, 7, 8}, C= {5, 8}, D= {2, 5, 8}, and U= {1, 2, 3, 4, 5, 6, 7, 8}.…

A:

Q: Show that for all sets A, B, and C, if A C BUC, then ANC + Ø or A C B.

A: In order to prove this we need to use the property that if X⊂(Y∪Z) ⇔X⊂Y or X⊂Z

Q: Let A = {July, John, James, Jared, Jeffrey, Jelly}, B = {John, Jelly, Jared}, and C = {Sally, Solly,…

A: Relation question

Q: For all sets D, E and F, if D- FCE-F then DUF CEUF.

A:

Q: Given = {a,b,c,d,e } , P is the subset {abde} and Q is the subset { c.de}. What is the set (P N Q')…

A: On solving this we will get

Q: For any two sets A and B, if m* (A) = 0, then m* (AUB) = m* (B). In particular, if BCA, then m* (B)…

A:

Q: If A and B are sets and A is a subset of B, then A and B cannot be disjoint.

A:

Q: Draw appropriate Venn diagram for each of the following :(i) (A ∪ B)′,…

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Q: If A is a subset of B, and B is a subset of A, then does A=B?(Y/N) If A maps onto B, and if B maps…

A:

Q: If a, b, c are in A.P., then prove that ao +C), b(c +a), c(a + b) ab are also in A.P. bc са

A: arithmatic sequence prove , a, b,c are in A.P then prove

Q: Given the universal set U = {0, 1, 2, 3, 4, 5, 6} and sets A = {0, 2, 4, 6 }, B = {1, 3, 5}, c= {4,…

A: Given:                          U=0,1,2,3,4,5,6Set A=0,2,4,6Set B=1,3,5Set C=4,3,2,1 (a) We find…

Q: Can you conclude that A = B if A, B, and C are sets such thata) A ∪ C = B ∪ C? b) A ∩ C = B ∩ C?c) A…

A: According to the given information, it is required to conclude that A = B if A,B,C are sets such…

Q: onditions, if any, must be set forth in order for a + b to be equal to n(A U B)?

A: In this question, the concept of Set Operations is applied. Set Operations The concept of set…

Q: Use the Venn diagram shown to list the set (B nC)'in roster form. U 1 B 6 7 12 A 3 4 C 10 11 15 13 8…

A: Solving the problem by finding the roster form.

Q: Let A, B, C, D be sets. If A\ B CC\D, then ANDC B.

A:

Q: if C={}         is {} subset of C ?

A: Question: Is the empty set a subset of itself?

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: If AB is a subset  of C,  show that P(C)≥P(A)+P(B)-1. Please show me all of your work.

A: Given that; A∩B⊂C⇒C⊃A∩B⇒P(C)≥P(A∩B)

Q: Which of the following is NOT a subset of 2{a,b} × {a,b} C (b). Ø) C (a,b), (a,b) ) C (a,b}, a) C…

A: Given set

Q: If A is a perfect subset of B and P(a < Pb), then P(B - A) is equal to P(a)P (b) .a .b P(a) + P(b)…

A:

Q: 3. Let A, B, C, and D be sets. (a) Prove that (A × C) n (B × D) = (An B) × (Cn D).

A: Let A, B, C, and D be sets.To prove the equality, we have to show that, LHS is a subset of RHS and…

Q: Let A = {1, 3, 5, 7}, B= (5, 6, 7, 8), C= {5, 8}, D= (2, 5, 8}, and U=(1, 2, 3, 4, 5, 6, 7, 8}.…

A:

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: For any two sets A and B, if A=B,then A=B صواب ihi

A: Given a statement

Q: Given a set A of n elements, in how many ways can you find two set P,Q ⊆ A (not necessarily…

A: Given set of  elements we need to find number ways in which A can be written as union of two…

Q: 1. For any sets A, B, and C; the distributive law states AU (B nC); that is a. (A U B) n (A UC) b.…

A: Let A, B, and C are three sets

Q: QUESTION 38 Use the Venn diagram to list the elements of the set in roster form. 12 11 13 15 14 17…

A: From the Venn diagram (A∩B) = {13,17}(A∩B)' means all the numbers outside of (A∩B).They are:…

Q: Use the Venn diagram to list the elements of the set in roster form. O A. (18, 19} О В. (11, 12, 14,…

A:

Q: For the following Venn diagram, what is P{(BUC)A}

A: P(A) = 0.23 + 0.07 + 0.04 +0.06 = 0.4   P((B∪C) ∩A) = 0.23

Q: If A, B, C are sets, then a. A\(BUC) = (A\ B)(A\C) b. A\(BnC) = (A\ B)U(A\C)

A: We know that for two sets A and B: A \ B = A∩Bchere Bc is the compliment of set B Distributive Laws:…