Is the following true or false? ∅ ⊆ {∅,1,3,5,7}

Q: What is set-builder notation?

A: Definition of set-builder notation:

Q: Why the following figure is not a Venn Diagram for 4 sets?

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Q: How many subsets are there of {1, 2, 3, 4, 5, 6, 7, 8, 9, 10}? How many of these subsets are proper?

A: Let the given set is A, having elements as

Q: S be the universal set, where: = {1,2, 3, ..., 18, 19, 20} sets A and B be subsets of S, where: ||…

A: Given, Let S be the universal set,  S={1,2,3,4,5,6,7,8,9,10,11,12,13,14,15,16,17,18,19,20} Set…

Q: if A ={x,{y},1,2,3,{2,3},{3}}      {} a proper subset of A      true or false

A: The problem is concerned with the nature of the empty set. The specific question is whether the…

Q: Let A = { a, e, i, o, u} and B = { a, b, c, d}. Is A a subset of B ? No.(Why?). Is B a subset of A?…

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Q: Let A=(1, 2,3,4,5,6,7,8,9,10,11,12) how many different non-empty subsets are there in set A

A: Given,            A=(1, 2,3,4,5,6,7,8,9,10,11,12) We have to determine the number of different…

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

A: Given…

Q: Consider a bag containing four red marbles, two green ones, one transparent one, three yellow ones,…

A: Total number of marbles = 4+2+1+3+3 = 13

Q: Consider a bag containing four red marbles, three green ones, one transparent one, three yellow…

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Q: Show that A = {2,3,4,5} is a proper subset of B = {2,4,5,6,3}

A: A set X will be called a subset of Y, if each elements of X belongs to the set Y . A set X will be…

Q: Let U = { 14, 15, 16, 17, 18, 19, 20 }, A = { 14, 16, 18, 20 }. Use the roster method to write the…

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Q: a) If there are no two donuts of the same variety b) If there is no restriction c) If there must be…

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Q: Is the following true or false?

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Q: Consider the following sets: A = {1,3,5,7,9, B, D, F), B = {0,3,6,9, C, F) and C= (0, 2, 4, 6, 8, A,…

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Q: a) there is no restriction on their profession. b) there should be same number of doctor and nurses…

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Q: Set C is a set of states in the United States whose names start with the letter H in roster form

A: In this question we have to write a set C in roster form which contains states of United Stated…

Q: Consider a bag containing four red marbles, three green ones, one transparent one, three yellow…

A: Given, four red marbles,three green ones, one transparent one, three yellow ones, and three orange…

Q: What is the minimum number of students required in a discrete mathematics class to be sure that at…

A: We solve the given problem in next step.

Q: How many proper subsets does S = {A, B, C, D} have?

A: We can find the number of proper subsets as below using the required formula.

Q: what are subsets?

A: Let us consider two sets A and B.A is called subset of B if and only if B set have all elements of A…

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: i. How many ways a meal-deal can be formed if Alia prefer a set that contain burger? ii. How many…

A: here from given information, main menu have 5 choices  side menu have 5 choices beverage also have 5…

Q: A standard bridge deck has_______ cards with four suits:______ and________ are red, and______…

A: A standard bridge deck has 52 cards with four suits: Hearts and diamonds are red, and clubs and…

Q: If A=(1,2,3,4,5.6,7), What is the number of nonempty subsets of A?

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Q: Construct a Venn diagram illustrating the sets below. U={a, b, c, d, e, f, g, h} W={a, c, d,f} х-…

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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: in a venn diagram with two overlapping sets there are

A: Let define the two events A and B.

Q: Prove T = { ... , −56, −42, −28, −14, 0, 14, 28, 42, ... } is a countable set

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Q: Is the following true or false? ∅ ∈ {∅,a}

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Q: Is A a subset of B if A = {2, 3, 5, 7, 8, 9, 10} andB = {3, 5, 8, 9}?

A: The given sets are, A=2,3,5,7,8,9,10B=3,5,8,9 A set A can be said to be the subset of another set B…

Q: is not ansered

A:

Q: Is the set (9, 20] under usual order ≤ well-ordered? Why?

A: We need to determine the set (9 , 20] under usual order is well - ordered or not. We know that , a…

Q: Is {1} proper subset of A  A={x,{y},1,2,3,{2,3},{3}}

A: A proper subset of a set A is a subset of A that is not equal to A.Or in other words, if B is a…

Q: Consider the following two sets, A = { 1, 2, 3 } B= {a, b, c } What is Ax B? {(1, a), ( 1, b ), (1,…

A: Given that  A{1,2,3} B={a,b,c) To find A*B

Q: Express the following statement into a Set Builder Notation 1. (2, 4, 6, 8, 10} 2) (2, 3, 5, 7, 11}…

A: # we are entitled to solve 3 subparts. please resubmit the other parts if you wish to get it…

Q: Let A be the set of students in your discrete math class and B is the set of students at Arizona…

A: A) A is the set of students in the discrete math class. B is the set of students at Arizona majoring…

Q: Give five examples of Venn diagram 3 sets with problem solving-and solution

A: Venn diagram is used to solve mathematics expressions like sets, union, intersection. Venn diagram…

Q: If ACB and A= {1,3,5,7}, Which set could represent set B? O {2.4.6.8} O {1,2,4,8} O…

A: Given A ⊂ B and A = {1, 3, 5, 7}

Q: Is the set of permutations ? (?) commutative? Justify your answer

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Q: {(x,a), (x,b), (x,c), (y,a), (y,b),(y,c)} is the Cartesian product AXB of two sets given as

A: Given,          x,a,x,b,x,c,y,a,y,b,y,c is the Cartesian product of A×B.

Q: Express the following statement into a Set Builder Notation 1. (2, 4, 6, 8, 10} = %3D 2) {2, 3, 5,…

A: Set builder notation consists of { Type of element | Rule defined} Hence 1) {2,4,6,8,10} {x | 2≤x≤10…

Q: Suppose U = {{a, b), a, c, d, {a, d), e) is a universal set with the following subsets: A = {(a, b),…

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Q: What is meant by Associative law in sets?

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Q: Express the following set in set builder notation.  B={15,16,17,18,19,20,21,22}

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Q: A given large basket can contain 70 pieces of fruit consisting of apples, bananas, kiwifruit,…

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