In a class of 50 students, there are 38 students who play soccer and 23 students who play basketball. Using the set theory, find the following:

Q: Consider the set: {-17, - 3, 0,0.75, V2, 7, V81}. List all numbers from the set that are a. natural…

A: Given set is: S=-17,-913,0,0.75,2,π,81 Therefore the set S is equivalent to:…

Q: Vrite the set in set-builder notation and roster or listing method. . The set of odd number from 1…

A: Both the notations are given below

Q: Given A = {1, 3, 6, 8, 9, 12, 15} and B = {6, 9, 12}, which is TRUE? Choose from the choices below…

A: a) disjoint set: In mathematics, two sets are said to be disjoint sets if they have no element in…

Q: Use set-builder notation to write the following sets. a. The set of integers less than 9 b. The set…

A: In order to represent the elements of a set, there are two forms roster form and set builder form.…

Q: Evaluate the following set operations: {∅,{∅}} ∪ {∅}{∅,{∅}} ∪ {∅} {∅,{∅}} ∩ {∅}

A: a. {∅,{∅}}∪{∅}{∅,{∅}}∪{∅}b. {∅,{∅}}∩{∅}

Q: Express the following set in set-builder notation. B= {14, 15, 16, 17, 18, 19, 20, 21} Choose the…

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Q: What is the difference between roster and set builder notation. Explain with examples.

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Q: Write the following intervals in set-builder form :(i) (– 3, 0)…

A: (i) (-3,0) is the set of all real numbers between -3 and 0, but -3 and 0 are not included.…

Q: Which concept from set theory is analogous to the disjunction? Union Complement Intersection…

A: Given:     Concept of set theory which is analogs to disjunction.

Q: How many arrangements are there?

A: Solution:

Q: What is meant by Intersection of sets?

A: Let A and B be the two sets. Then the set of all common elements of A and B is called the…

Q: Q3. From the following Venn diagram, find the sets A-B, B-C, BUC, and AUB

A: The diagram is:

Q: 5. Write the following sets using set -builder form: А - (5, 9, 13, 17) b. В-(1/65, 1/50, 1/37,…

A: 5. a. Consider the set A=5,9,13,17. The elements of the above set are obtained as follows. The 1st…

Q: Write the symbols used to represent the following: Represent each using sets to explain. Element…

A: We have to write the symbols(Notation) used to represent the given sets and represent each using…

Q: If a universal set contains 250 elements,

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Q: In the following choices, three sets are described. Select the set that is NOT like the other two. O…

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Q: Hello I am having trouble understanding Set Theory and Subsets.

A: Set theory is dealing with objects that are related to the mathematics and it is also a branch of…

Q: Identify the set theory /logic expressions from looking at a shaded Venn Diagram attached.  Please…

A: In the given figure it can be observed that the colored space is the collection of elements that are…

Q: Consider the sets: A={a,b,c} B={b,c,d} C={a,c} D={d,c,b} For each statement below, state whether the…

A:

Q: Let A, B, and C be finite sets, with ACBC C and n(B) = 7. (a) What are the possible values of n(A)?…

A: Given:  A, B, and C are finite sets. A ⊂ B ⊆ C and n(B) = 7. Subset and subset notations: A subset…

Q: Put the following into the set builder notation:  {2, 4, 6, 8, 10} {2, 3, 5, 7, 11}  {1, 4, 9, 16,…

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Q: (c) Find (A - B) - C and A (B - C). (Enter your answer in set-roster notation.) (А - в) — с : А - (В…

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Q: The number of students in the following set operation, A N P is The number of students in the…

A: from the Venn-diagram  only A = 6 n(A∩P) = 15 only P = 4 and total n(U) =30

Q: Hi, What is the "{}" when it comes to sets? Like for example what is the difference between {x} and…

A: The "{}" means "the collection of" or "a set". There is a big difference in  between {x} and {{x}}.…

Q: What is R-S, if set R comprise of letters in the word STRESSED and set S comprised of the letters in…

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Q: b) By using the laws of set theory, show that [(A U B) n (An C)] u (B n C) = A U B.

A: Here we have to prove left hand side is equivalent to right hand side using laws of set theory

Q: Subject: Elements of Set TheoryGreetings,I am really having difficult time with these problems that…

A: (a) For n = 2, the equality is

Q: For Exercise, find the union or intersection of the given sets. Write the answers in set-builder…

A: A U B means either A or B or both A : All numbers > 3 B: All number > -2 but less than and…

Q: C. Translate the set builder notation into words 6. {X€ Z|-6 s x s 10} 7. {X€N|2x 2 5}

A: We have to translate the given set builder notation in to words.

Q: The set of number me between but not including 7 and 8 can be written as follows: in set-builder…

A: The set of numbers between but not including7  and 8 can be written as set ‐builder notation.

Q: (b) B = {1,2, 3, 6,9, 18}

A: K={11,12,13,14,15,16} Set builder form of K is  {1x| x is a natural number less than 7}

Q: (b) B = {1, 2, 3, 6, 9, 18}

A:

Q: a) A survey of students in a lecture revealed that a total of 25 people played the guitar,10 played…

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Q: Write the set in the set-builder form.  { 1 , 2  , 3  , 4   ,5   ,6…

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Q: -5 -4 -3 -2 -1 0 1 2 4 or -5 4 -3 -2 -1 0 1 2 3 45 Answer (b): number line, write the set in…

A: A detailed solution is given below.

Q: Write the following sets in the set-builder form :(i) (3, 6, 9, 12}     (ii) {2,4,8,16,32}…

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Q: Use set-builder notation to write the following set. The set of months that have fewer than 31 days

A: A set builder form notation does not simply lists the elements, instead it describes or defines the…

Q: Write the following sets in set-builder notation: (a) {58, 59, 60, · · · } (b) {13, , 14, 15, · · ·…

A: We have to write the notation in set-builder form (a) {58, 59, 60, · · · }(b) {13, , 14, 15, · · · ,…

Q: Write the resulting set using the listing method. {x an odd number between 7 and 15, inclusive}

A: Write the resulting set using the listing method. {x an odd number between 7 and 15, inclusive}

Q: Let A, B, and C be three sets. If A⊕C=B⊕C, show that A=B

A: Solution : Given that A,B and C are three sets. And the Direct sum of set A and C is equals to…

Q: Use the laws of set theory to simplify the following expression. State the name of the laws used.…

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Q: If X and Y are two sets such that X ∪ Y has 50 elements, X has 28 elements and Y has 32 elements,…

A: Given that n(X ∪ Y)= 50  n(X)= 28 and n(Y)=32  We have to find n(X ∩ Y )= ?

Q: Decide if the given statement is true or false. If it is false, give the reason. {guidebook} C…

A: We need to answer if the given statement is true or false {guidebook} ⊆ {crossword book, guidebook,…

Q: Are the following pair of sets equal? Justify your answer? A = { x:x is a letter in the word FOLLOW}…

A: Set: A set is a well-defined collection of distinct objects. Equality of Sets: If two sets A and B…

Q: 6. For the set B={10,11,12,13}, chose the statement that is true. {4,11,12} C B {11,12} C B {13,14}…

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Q: Using the Venn Diagram attached,  Identify the set expression modeled by this Venn Diagram. Then,…

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Q: Write {2, 4, 6, 8} in set-builder notation.

A: Solution

Q: In a linguistics course, the professor asked the students to list all the languages they speak…

A: a) equivalent sets are sets with same number of elements, where all the corresponding elements of…

Q: How do we denote the empty or null set?

A: A set is said to be an empty set or a null set if there is no element in it.