1. Consider the following collection of set definitions. How many different sets are described? • {2,3,4} • {x|x is the first letter of cat, bat, or apple } • {x|x € N and 2 ≤ x ≤ 4}. • {a,b,c} • Ø • {x|x is the first letter of cat, bat, and apple } {2, a, 3, b, 4,c} • {3,4, 2}

Q: Which of the following statements is true? Suppose we have the following sets: A = {0,4, 8, 12, 16,…

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Q: 1. example of sets A and B for which A B but Ag B.

A: Cardinality of a set is number of elements in the set.

Q: Given the sets A = {2, 4, 5, 7}, B = {2,4,5,7}, B = {2,3,5,8} in a universal set U = {1, 2, 3, 4, 5,…

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Q: 5. Consider the sets A = 0 and B = {0} and C= {1,0}. Find each of the following sets, if it is…

A: The given sets are                       A=ϕ and B=ϕ and C=1,ϕ. Here the set A is the empty set,…

Q: 1. Let A = {2, {2},{{2}}}, B = {2, {2}, {2, {2}}}. Is A C B? Is BC A? Is either A or B a proner…

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Q: 3-5: Consider the set A = {Ø, 0, {0, Ø}} 3. How many subsets does A have? 4. How many of the subsets…

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Q: List the subsets of the following set. {1,2,0}

A: Let A=1,2,ϕ. So the number of subsets of A =23=8.

Q: I. identify the type of set as described by the following among EMPTY, FINITE and INFINITE 1. B=…

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Q: Represent the following sets by using listing method: (a) r:xeZ, such that x' <3}

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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: 3. If A and B are two sets such that A C.B, then what is AUB? 4. Find the union, intersection and…

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Q: How many unordered sets are possible that contain three objects chosen from seven?

A: Number of unordered sets that contain three objects chosen from seven = 7C3

Q: 1. Construct the intersection for the collection of sets: A₁ = (0,2,4,6,8) A₂ = [0, 1, 2, 3, 4) A3 =…

A: I do both 1 and 2 questions. In second question if matrix is symmetrical than we will find…

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: 2. Write the following sets in roster notation. (a) {r|x € N, x -3} (c) {r |x € N, –2 < x < 6}

A: Given we have given the following sets (a) x x∈ℕ , x≤-8 (b) x x∈ℤ, x≥-3 (c) x x∈ℕ,-2≤x&lt;6 we have…

Q: ind the cardinality of the given sets. A. {b} B. {0,{0}} C. {4,5,6,7,8,9}

A: In the given question, there are three sets given, and the objective is to find the cardinality of…

Q: The universal set is U = {0, 1, 2, 3, 4, 5, 6, 7, 8, 9}. If A = {1, 2, 3, 4, 5} and B = {4, 5, 6, 7,…

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Q: What relationship (subset, intersect, disjoint, or equivalent) can be used to characterize the two…

A: Remind that, SUBSET : Any set A is said to be a subset of B if all elements of A are also elements…

Q: Which of the following could be considered as NOT an equal set? B = (x : xe Z, -3 < x 0}; C = {0,…

A: Equal sets are the two sets having same element.

Q: Name a pair of disjoint sets E={v,o,w,e,I,s} P={ Letters in the word "solve"} Q= { Letters in the…

A: To find pair of disjoint sets E={v,o,w,e,I,s} P={ Letters in the word "solve"} Q= { Letters in the…

Q: 1. What kind of set is V = {x ∈ N I x < 1} ?

A: Given,  V = {x ∈ N I x &lt; 1}

Q: Construct a Venn diagram illustrating the given sets. A = {4,5,6,7,8,9} B = {3,4,5,6,10} C =…

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Q: 1.Let’s consider: U = {0, 1, 2, 3, 4, 5, 6, 7, 8, 9}, V = {0, 2, 4, 6, 8}, D = {1, 3, 5, 7, 9}, P =…

A: Here given that    U={0,1,2,3,4,5,6,7,8,9}V={0,2,4,6,8}D={1,3,5,7,9}P={2,3,5,7} That means V is set…

Q: Given A={2,4,6,8} and B={1,3,5,6}. What is the cardinality of the union of set A and B?

A: Number of element in A union B is 7. Actually in sets we are not writing same element in twice.

Q: 2. Determine the power set of the following sets: (a}{1,5} (b){a,b,c,d}

A: The power set is a set of all the subsets. a) A=1,5Then,PA=ϕ, 1, 5, 1,5

Q: 3. Is the set of all brown dogs a subset of the set of all dogs? Why or why not? 4. Is the set of…

A: We need to find the solutions to the given 3 problems. Let's begin.

Q: List the subsets of set Q given that Q={w,x,y,z}. no element How many such subsets? one element only…

A: Please see the below picture for detailed solution.

Q: Construct a Venn Diagram illustrating the given sets. A = {4,5,6,8}. B= {!,2,4,5, 6,7}, C={3,4,73…

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