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

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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: For the three sets A, B, and C,  A-(BUC) will be equal to,

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Q: Determine which of the following sets are equivalent. ĀU (BNC) BUC) 2) A U B 3) An (BUC) Only 1) and…

A: Answer belowExplanation:To determine which of the given sets are equivalent, let's first simplify…

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| =…

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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: . 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…

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Q: 2. Suppose A, B, and C are sets. Prove that (AUB) \C CAU (B \ C).

A: Introduction: We know that the difference property of two sets A and B as A/B=A∩B'.

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: Ve V3 V. Vs Ox waiten as VaNeV oY Cycle not cinuit - Neithen uyle mi cicuit-

A: Circuit :- Traversing a graph such that not an edge is repeated but vertex can be repeated and it is…

Q: a) If U = {2,4,6 ... 10} is a universal set and A = odd number B = Prime number, C = Prime number…

A:

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

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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: 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: A and B be two sets, and A - B = . a) What can you say about sets A and B? b) Draw a Venn diagram.

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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: (1) In the universal set U ={1,2,3,4,5} we define the following sets: A ={1,2,3}, B = {3,4}, and C =…

A: Note: You have posted a question with multiple subparts. We have solved the first three subparts for…

Q: The function f(x) = |ax - b| + c|x| : x in (-∞, ol where Find the

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Q: Let A, B and C be sets. It is given that AUC= BUC and AnC= BnC. Shơw that A = B.

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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: 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: 50° S. 80° R 60° 100 7. 7.

A: The measure of the arc length is double than the angle formed by that arc to the circumference of…

Q: Let A and 8 be any sets. Then (A - (A N B) n (8 - (An5) - - (4ก (A ก อ) ก (8n (An ๒) -…

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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: True or False? 7. If A and B are two sets such that A ∪ B = A ∪ C then B = C.

A: Given: If A and B are two sets such that A ∪ B = A ∪ C then B = C.  We check that it is true or…

Q: 26. Draw the Venn diagrams for each of these combinations of the sets A, B, and C. b) ĀNBNT a) AN…

A: We are authorized to solve only one question please repost remaining questions Venn diagram

Q: 16. If A, B and C are sets, then Ax (BUC)= (A x B)U(AXC).

A: