Direction: Define subsets of Za, as follows: A = {a | a E Za and a < 10} A = {a | a € Za and a > 5} A = {a | a E Za and 3| a} 1. ANB = 2. AUB = 3. AnC = 4. BUC =

Q: Determine whether the given set is linearly dependent or linearly independent: S =

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Q: Consider rolling a six-sided die once. Let A be the set of outcomes where an odd number comes up.…

A: Consider two sets A and B. Now, A ∪ B defines the collection of elements, which belong to the set A…

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: 3. Given the set A=(3,6,9, 12) B=(2,4,6,8, 10, 12) U= {1, 2, 3, 4, 5, 6, 8, 9, 10, 12) a. Find: i. A…

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Q: Consider the following sets: U = {a, b, c, d, e, f,g,h, i,j,k} А %3D (а, b, с, d, e } B = {a,b, c} C…

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Q: CustomerT batslgmos dmn svig ai a W Y Z. done 10 2 8 on 6. 4 12 8. 14 10 8 2 D 4 14 10 8. Тaxi

A: Hungarian  Method-2 :-

Q: 2. a. List all 3-combinations for the set {x1, x2, x3, X4, Xs}. Deduce the value of (,). b. List all…

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Q: Indicate whether the following sets are equal. A={x, j, a, w}, D={x, a, b, y}

A: The given two sets are, A=x,j,a,w and D=x,a,b,y By definition, The two sets A and B are equal sets…

Q: Let A, B, and C are three sets, prove that Cx (A – B) = (C x A) – (C × B) C.

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Q: A partition of a set has four subsets: M, A, T, and H.  If P[M] = 0.143, P[A] = 0.378, P[T] = 0.278,…

A: We want to find P[H].

Q: 2) Are the following variables discrete or continuous? a) A person's age: Select an answer ✓ b) The…

A: We know that ,    A continuous variable is defined as a variable which can take an uncountable set…

Q: help.

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Q: Find n(A) for the following set: b) A = { {0}, {1,2}, {3,4,5} }

A: Consider the given set A = {{0}, {1,2}, {3,4,5}}.

Q: Given the sets of A = (1,2,3,4,5,6,7,8) , B = (5,6,9,12,11,15,21) and C = {3, 4,5, 8, ,9,10, 13).…

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Q: 38. Which of the following is a disconnecting set? A. {ei, e7, e4, es} B. {ez, ez, e6, es} C. {e4,…

A: Given Graph, We have to find out the disconnecting set.

Q: Find the median

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Q: Theorem 5.25. Let A, B, and C be sets. Then 1. A× (B N C) = (A × B) N (A × C) 2. A × (B U C) = (A ×…

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Q: 3 Shade the set (R nc)UT. =(RAC) UT and C-(RUT)

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Q: Which of the following is NOT a subset of 2 {a,b} x {a,b} ☐ ({a}, a) (a, {a}) ({a,b}, {a,b}) ☐ ({a},…

A: In set theory, a subset relationship denotes that every element of one set is also an element of…

Q: . How many relations are there on the set S = {2, 4, 6}? 892 512 none of these 1024

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Q: Let A = { 1, 2, 3, 4, 5, 6, 7, 8, 9, 10 }. Give an example of three sets, A1, A2, and A3, such that…

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Q: 2. Let A = notation. {a,b,c}, B = {1,2}, C = {X, Y}. Write out the indicated set in list (A x B) x C

A: For given A, B, C set we have to find the value of (A x B) x C.

Q: 2. Let A = {1,3, 4, 6, 9}, B = {r | zEN and z 7} and U = N. List elements of the following sets.…

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Q: Let X = {a,b,c,d}. List the elements of the set {A :A € P(X) and |A| = 2}.

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Q: Shade the Venn Diagram to show the set. (AN D) UF' ..... A Use the graphing tool to shade the set.…

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Q: Let X be a set. Show that P(X)÷ X.

A: Solution:Let X ba a set.To Prove: P(X)≠X

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}.…

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Q: Given A = {1,2,3,4} Determine the number of partitions i

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Q: A Partition of a set has 3 subsets: A, B, and C. If Pr[A]=.25 and Pr[B]=.45, find Pr[C].

A: The provided information is,P(A) = 0.25P(B) = 0.45According to the general law of probability, the…

Q: 2. Find a set A such that A = {2, JA]}.

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Q: b. Create an input-output table with the figure number and the number of tiles in each figure for…

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Q: . Find the sets A and B if A - B = {1, 5, 7, 8}, B-A = {2, 10), and An B = {3, 6, 9).

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Q: Determine the number of distinct subsets for the given set {t, a, p, e, f, g}.

A: Given set {t, a, p, e, f, g} Since there is no. Of elements = 6 (say n)

Q: Draw a Venn diagram for the symmetric difference of the sets A and B.

A: