QUESTION 1 et A, B, and C be sets in a universal set U. We are given n(U) = 100, n(A) = 26, n(B) = 28, n(C) = 29, n(AN B) = 13, n(AN C) = 13, n(B n C) = 14, n(ANBN C) = 7. What is (ACu Bu C?

Q: . If A and B are sets in a universal set U, then AUB=AnB.

A: We proved this by wave diagram

Q: 6. DeMorgan's Laws If A = the set of all alligators and C = the set of all crocodiles a. What kinds…

A: We have to use demorgan law

Q: - For all sets A, B and C. Is (An B) U C =An (Bu C)? Justify your statement. You may ju

A: Yes, the above statement is false and the proof of above statement is given below:

Q: (BOC)=(A-B)u(A-C). 11. If A and B are sets in a universal set U, then AUB=AnB. 12. If A, B and C are…

A: Please refer to the solution in next step.

Q: Let A and B be sets. 1) If |A| = 30, |B| = 17, and |A n B| = 2, then |A U B| = 45 2) If |A U B| =…

A:

Q: good

A:

Q: Prove that {9":ne Q} = {3":neQ}.

A: Two sets A and B are equal i.e. A=B if and only if

Q: For any sets A and B , (ANB) = %3D O a. ANB O b. ANB Oc. B-A С. В- А O d. U-B

A: By using identities of set theory :

Q: . If A and B are sets in a universal set U, then AUB=AnB. A-(BnC)=(A-B)U(A-C). . If A, B and C are…

A:

Q: le Let A, B, C be sets. By drawing Venn diagrams, determine if the following statements are true or…

A:

Q: 6. Let A, B, and C be sets. Verify the following (you can use a membership table) a) An (BUC) =…

A: ∩ : and  ∪ : or  We have to prove :

Q: Which of the following is true for all sets S and T? Select one: O A. SOT SOT B. SOT SUT C. SUT SOT…

A: see below the answer and explanation

Q: How would a mathematician say: “Take the set {s,u} and give it the name G” Let D = {u,j}. Is j a…

A: 1. Let, G=s,u 2. Consider a set D=u,j. A set X is a subset of another set Y. If all the elements of…

Q: Theorem: let S₁, S₂ be the collection of sets D (US) U (US). = US. SES, VS₂

A: Solution: Let S1  and S2  be  the  collection of sets.We  have  to show  that  ∪S∈S1S∪∪ sS∈S2=∪…

Q: 15. If A, B and C are sets, then (AnB)-C=(A-C)n(B-C). m

A:

Q: Suppose that A and B are two sets. (a) If n(A ∪ B) = 22, n(A ∩ B) = 8, and n(B) = 12, find n(A). (b)…

A:

Q: (b) Use set theoretic notation to describe the set of all students that were only satisfied with…

A: Given: Venn diagram of given information is given below:

Q: Given: U=f1,2,34 5.6.7,8, a's A={1,2,5,6,85 B- 42,4.5,2,9y C- {1, 4.5,6.9) 1.) A'nC b) BnC' c) (A'U…

A:

Q: Which of the following set is consistent? Select one: O i. None of these O ii. (A&~(BVA) } O i. {J>…

A:

Q: O SETS Union and intersection of finite sets Sets B and A are.defined as follows. B={a,b f) A= {b,c…

A: Given below the detailed solution

Q: What can you say about the sets A and B if AB=A?

A: Consider two sets A  and B. Then the symmetric difference between these two sets is denoted by A⊕B.…

Q: Sets B and C are subsets of the universal set U. These sets are defined as follows. U={f,k,m, x,y }…

A: It is given that: U=f,k,m,x,y,B=k,y,C=f,k,m Therefore the complementary sets of B and C are:…

Q: 10. Place the correct symbol from the list C, =, 2 between each pair of sets below a) AUB, AU (B −…

A: A set is a clearly defined set of unique elements in mathematics and computer science. These…

Q: Let S be the universal set, where: S={1,2,3,..., 18, 19, 20) Let sets A and B be subsets of S,…

A:

Q: Find the vector v with the given magnitude and the same direction as u. Magnitude Direction

A:

Q: 6)2 22,5, b, 8 };B={ s;7,9,13, füidd ncAuB), - nCAnB)

A: The given sets are A=2, 5, 6, 8  and  B=5, 7, 9, 1. Evaluate nA∪B as follows. A∪B=2, 5, 6, 8∪5, 7,…

Q: What is (A∪B)c where A={5,11,3,8,9} , B={99,5,11,2,4} and Universal Set…

A:

Q: (BOC)=(A-B)u(A-C). 11. If A and B are sets in a universal set U, then AUB=AnB. 12. If A, B and C are…

A: To prove the equality A - (B ∩ C) = (A - B) ∪ (A - C), we need to show that each set is a subset of…

Q: 17. If A,B and C are sets, then Ax (BnC) = (A x B) n(A x C).

A:

Q: 2. Write diagrams in Fig. 4.12 (a a) b) d) c) dce

A: a) This can be represented as: A'∩B

Q: 18. If A,B and C are sets, then Ax (B-C)= (A x B)-(AXC).

A: By the using of definition we prove this.

Q: (20 pts) Answer the following questions about the set A = {3,Ø, {T, e}}: a. What is JA|? b. Is n E…

A: With the help of concept of set theory and Cartesian product we can solve all these questions-

Q: H.W:- Used Cramer's Rule to find the value of the variables in the following equations: x + 3y + 3z…

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Q: 14. If A,B and C are sets, then (AUB)-C=(A-C)u(B-C).

A: To prove the equality (A∪B)-C = (A-C)∪(B-C), we need to show that any element x belongs to the…

Q: Let A, B, and C be sets in a universal set U. We are given n(U) = 66, n(A) = 32, n(B) = 33, n(C) =…

A: