4. Let the universal set U, and the subsets of U are A = {x\x is a letter of your first name}, (R my letter of my first name) B = {x|x is real number, x² – (4 + m) = 0 }, C = {3,4,5} and D = {x\x is set of vowels in the English alphabet } a. Write set U b. Write set A , B and D in roster form c. Find: (Aº U B)° n D. d. Find B x C e. Explain by your own words the types of sets and give example for each one.

Q: 4. Let the universal set U, and the subsets of U are A = {x\x is a letter of your first name}, B =…

A:

Q: 9. Use the Venn diagram to the right to determine the cardinality. U B n(AN B) three six nine 10 03…

A: In the venn diagram, the elements of sets are given.

Q: 1. Let A, B and C be the subsets of U. Then prove that (A – B) - (B - C) = A-B by using laws of sets

A: Using properties of set theory

Q: Let the universal set U = {1, 2, 3, 4, 5, 6}, and let A = {1, 2, 4}, B = {1, 2, 3, 5}, C = {x €U|x²…

A: Since you have posted a question with multiple subparts according to guildlines I will solve first…

Q: Example 5. If A, B and C are three sets and U is the universal set such that n(U) = 1000, n(A) =…

A:

Q: Let U= x≤14 U = {x ∊ N | x ≤ 14 } be the universal set and the other sets A,B, and C are A = {1, 2,…

A: Given:

Q: 3. Define two sets, call them A and B, that makes the following statement true; if it is impossible…

A:

Q: Let S be the universal set, where: S = {1, 2, 3, .., 23, 24, 25} >....

A: Given…

Q: 3 about disjoint subsets A and B of a universal set U, except assume that n(U)=100, n(A)=30, and…

A: Given, n(U)=100 n(A)=30 n(B)=50 n(A′∪B)=?

Q: 16. Suppose U = {0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10} is the universal set What is T' ?

A: Given that  U = { 0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10} T = { 1, 3, 5, 7, 9 } U is the universal set and…

Q: 26. Let I be the set of all infinite sets. Is I an element of itself?

A: Given I is the set of all infinite sets.  We check whether I is an element of itself.

Q: 4. Let the universal set U, and the subsets of U are A = (x\x is a letter of your first name). B =…

A: Given: The universal set U is, A =  x / x is a letter of my first name    =  s , a , h , d , e , v

Q: 4. Let the universal set U, and the subsets of U are A = {x\x is a letter of your first name}, (R my…

A: "Since you have posted a question with multisubparts, we will solve the first three subparts for…

Q: Consider the set M = {m,a,{t,h},e,m,{a,t,î},c,s}. 1. What is the cardinality of M?

A: M = { m,a, {f,h} , e,m, {a1, i} ,e ,s}1. Carbimalty of M = 72. No, {m,a,f,h} is not a properSubser…

Q: 2. (i) Show that given finitely many countable sets A1, A2, , An, the set A1 x A2 x .. x An is also…

A:

Q: Let C and D be subsets of a universal set U, then (C ∪ D) ⊆ (C ∩ D).

A: Given C and D are two subsets of universal set U.

Q: Identify the type of set (finite, infinite or empty) as described by the following: 1. A = {stars in…

A: A set is said to be finite if it contains only finite number of elements. A set is said to be…

Q: 6. Let A, B be finite sets. Show that if JA\ B| = |B\ AJ, then |A| = |B|.

A: The order of a set defines the number of elements of the set. For two finite sets A and B,…

Q: 4. Let the universal set U, and the subsets of U are A = {x\x is a letter of your first name}, B =…

A:

Q: Let the universal set U = {x | x is a positive integer}. Also, let A = {x ∈ U | x is divisible by…

A: Given, U={x | x is a positive integer} The positive integers are  1, 2, 3, ... i.e. the natural…

Q: 4. Let the universal set U, and the subsets of U are A = {x]x is a letter of your first name}, B =…

A: We will find out the required values.

Q: Let C and D are be the subsets of some universal set U. Then D-C = C'nD is

A: We have to identify the statements as true or false.

Q: 4. Let the universal set U, and the subsets of U are A = {x\x is a letter of your first name}, (R my…

A:

Q: If a finite set A equals the union of k subsets A1, A2,..., Ak, then the number of elements in A…

A:

Q: Let the universal set be U = { x | x is a natural number } and let set E = { 2,4,6,8 . . . } What is…

A: Given: Universal set U=x|x is a natural number and E=2,4,6,8,.... To find: E'

Q: Let R, S, T be subsets of the universal set U such that n(U) = 64, n(R U S U T) = 45, n(R) = 22,…

A: We will draw a Venn diagram using the given information: n(U) = 64, n(R U S U T) = 45, n(R) = 22,…

Q: 4. Let the universal set U, and the subsets of U are A = {x\x is a letter of your first name}, B =…

A: Let us solve the set problems and describe various types of sets in the next steps.

Q: Let U={x | x is a letter in the English alphabet} be the universal set. Consider the set B={c, m, n,…

A: Let U={x | x is a letter in the English alphabet} be the universal set. Consider the set B={c, m, n,…

Q: If A is set of all vowels in alphabets.Then number of subsets of A is

A: Given: A contains all vowels  So, A = a, e, i , o , u Number of elements in A = 5

Q: 7. Let the universal set be U = {a,b,c,d,e, f} and let A={a,c,e} and B={a,b,c} Find: a. AUB b. ANB…

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Q: 2) Explain how you count the number of elements in the set A = {n EN| n <500 and gcd (n, M) = 1},…

A:

Q: 1. Express the set {x|x is a natural number and 15< x s 23} and give its cardinality (Cardinality is…

A: The given set is: S= x | x is a natural number and 15&lt;x≤23

Q: 4. Let the universal set U, and the subsets of U are A = {x|x is a letter of your first name}, B =…

A: Disclamier: Since you have posted a question with multiple sub-parts, we will solve first three sub…

Q: Let the Universal Set, S, have 127 elements. A and B are subsets of S. Set A contains 94 elements…

A:

Q: 3. In a generic Venn diagram, we must allow for all possibilities for which set(s) an element…

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Q: Determine the following: 1. Β n (ΑU D ) 2. (A' – C') – (B C) 3. (C U D') – (A 0 B')' 4. (A U B') n…

A:

Q: 4.3 Give an example to show that the arbitrary intersection of open sets is not an open set.

A: Since you have asked multiple question, we will solve the first question for you. If youwant any…

Q: 22. Let 2 be a non-empty set and let C be all one point subsets. Show that o (C) = {A C 2 : A is…

A:

Q: Which of the following represent the universal set for the given sets and represent them through…

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Q: 4. Let the universal set U, and the subsets of U are A = {x\x is a letter of your first name}, (R my…

A:

Q: 1. show that if S, and S, are definite sets with IS-n and S-m, then |S, YS, <n+m Ctrl) - Paste…

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Q: The union of the universal set and any of its subset is * none of the choices cannot be determined…

A: our objective is to conclude

Q: Let A = {1, 2, 3} and B = {2,5} be two subsets of a universal set U {1, 2, 3, 4, 5). Compare (AUB)…

A:

Q: 13. Consider the following sets, with U = N; that is, the universal set is the set of natural…

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Q: 2. Prove that by laws of set, (A - B)- (B - C) = A -B

A:

Q: Let A, B and C be finite sets with A C B. Suppose that B |C| =5, and that |BnC= 4. Decide whether…

A: Given: A⊂-B, |B| = |C| = 5 and | B∩C| = 4

Q: 4. Let the universal set U, and the subsets of U are A = {x\x is a letter of your first name}, {x]x…

A: The solution of given problem is followed by