Draw the Venn diagram with the classification of the animals and insects in Mario's collection

Q: What is a set?

A: Definition of the set:

Q: Suppose that |A| = |B| = |C| = 6 and |A ∩ B| = |A ∩ C| = |B ∩ C| = 2. Determine the smallest that |A…

A: Given, |A| = |B| = |C| = 6 and |A ∩ B| = |A ∩ C| = |B ∩ C| = 2

Q: Suppose that A = (3, 7,1 6}, B = (3, 16}, C= (7, 16}, and D = {7,8, 1 6}. Determine which of these…

A: Set A is said to be a subset of Set B if all the elements of Set A are also present in Set B. In…

Q: Problem 4: The defining property of an ordered pair is that two ordered pairs are equal if and only…

A: First, suppose that a=c & b=d, then we will show that (a,b)=(c,d). So,…

Q: What can you say about the sets A and B if A ⊕ B = A?

A: The symmetric relation is described as, A ⊕ B =(A-B) U (B-A)

Q: If A, B,C, and D are sets, does it follow that (A ⊕ B) ⊕ (C ⊕ D) = (A ⊕ C) ⊕ (B ⊕ D)?

A: The symmetric difference between the set is associative and commutative. So, (A⊕B) ⊕C=A⊕(B⊕C)…

Q: When A, B, and C are sets, A∩(B⋃C) = (A∩B)⋃C if and only if     A ∩ C ⊆ A ∩ B     C ⊆ A     A…

A: According to the given information it is required to tell that when the below statement holds.

Q: Given that the elements of the sets A, B, and C are defined as:  U = {a, b, c, d}        A = {a, b,…

A: Topic : Set theory

Q: If X and Y are two sets such that X ∪ Y has 18 elements, X has 8 elements andY has 15 elements ; how…

A:

Q: A survey of 500 farmers showed that of the​ farmers, 26 grew only​ wheat, 114 grew only​ corn, 93…

A: The following situation can be represented by venn diagram given below: Rectangle(universal set)…

Q: Let the following sets A, B, and C be finite sets with|A|= 6, |B| = 8, |C| = 6, |A ∪ B ∪ C| = 11, |A…

A: Let the following sets A, B, and C be finite sets with|A|= 6, |B| = 8, |C| = 6, |A ∪ B ∪ C| = 11, |A…

Q: Is it true that for any sets A and B,        P ( A ) ∪ P ( B ) = P ( A ∪ B )? Justify your answer.

A:

Q: What can you say about the sets A and B if (An B') = {}

A:

Q: Use the following information to answer question 6. 16 19 The number of elements in the unversal set…

A:

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

A:

Q: Given the sets X = {x: x is an odd number less than 17}and Y= {y:y is a prime number less or equal…

A:

Q: Let A and B be sets. Then B (B – A) is equal to the above A N B

A: The Venn diagram for 2 sets can be drawn as follows.

Q: The intersection of sets K and L will

A: our objective is to find the intersection

Q: If A and B are any two sets and AUB = . A n B, then

A:

Q: What can you say about the sets A and B if we know that a) A ∪ B = A? b) A ∩ B = A? c) A − B = A? d)…

A: (Note: Since we only answer up to 3 sub-parts, we’ll answer the first 3. Please resubmit the…

Q: a) DeMorgan's laws tell us that for sets A and B, the expression (Aº n Bº)° simplifies to

A: For two sets A and B the De Morgan's Law states that A∩BC=AC∪BC.

Q: a. If Set X = {x| xeZ and x is your phone number } and Set Y = {x|x is the letters of your birth…

A: we are given a set defined as, Set X=x|x∈Z and x is your phone number where phone number is 95111090…

Q: Q1\ Use the Venn diagram to find the requested sets. 1-4'N B' 2) B-C' 20 3- A - (B'U C) 10 5.

A:

Q: Suppose that A and B are two sets such that n[A]= 5, n[B]= 9, and n[A U B]= 13. If n[U]= 19, then…

A: The given values are nA=5,nB=9, and nA∪B=13. Also nU=19.

Q: A problem about inductive or dense sets like that, if both A and B are inductive, then are An B and…

A: Since you have asked multiple questions, we will solve the first Question for you. If you want any…

Q: What is the complement of the set X? How is it denoted?

A: Universal set is always given to find complement of a set. Complement of a set 'X': It includes…

Q: It is the selection of objects from a set.

A: This is the problem of combinatorial. finite math, counting.

Q: What are the elements of the following (admittedly peculiar) set: {Alice, {1}}?  

A: Given: A set Alice, 1. To find: The elements of the given set.

Q: If 1/3 of the blocks in set A are red, and 1/4 of the blocks in set B are red, does it follow that…

A: Given 1/3 of blocks in set A are red and 1/4 of blocks in set B are  red

Q: Solve the following problems by applying the basic operations of sets and Venn diagram. sets and…

A: Given : a butterfly : only Bird a penguin : A bird and can swim an eagle : only bird a fly: an…

Q: the diagram for the intersection of sets A and B.

A: Basic concepts intersection of two sets- Let A and B are any two sets, then the intersection of sets…

Q: If X and Y are two sets such that X has 30 elements and X ∪ Y has 50 elements and X ∩ Y has 8…

A: We are given: X has 30 elements and X ∪ Y has 50 elements and X ∩ Y has 8 elements We need to find:…

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: Determine whether each of the following sets is well-ordered: (i) the set A = : (ne Q)^(n > 0}; (ii)…

A:

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: Find the complement of the set.{x∣x is a whole number less than 6} if U is the set of all whole…

A:

Q: 2 3 4 5 Write the set in the set-builder form.

A: Given

Q: Show that if A and B are sets |A| = |B|, then |P(A)| = |P(B)|

A:

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: In a class of 50 students, there are 38 students who play soccer and 23 students who play…

A: Given, In a class of 50 students, there are 38 students who play soccer and 23 students who play…

Q: O AC Biff P(A) C P(B).

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

Q: If A and B are two sets satisfying A∖B=B∖A what can we conclude about A and B? Explain.

A:

Q: Given the sets U= {x / x is a letter in the word "entertainment"} A= {a ,e ,i} B= {x/x is a…

A:

Q: The symmetric difference of two sets A O B is the set of elements that are in either the set A, or…

A: The aim is to show that, A⊕(B⊕C)=(A⊕B)⊕C It is known that, A⊕B=A∪B-A∩B So A⊕(B⊕C) can be written as,…

Q: How would you use set notation to describe the section of the Venn diagram that Noah is in? Use F…

A:

Set Theory

Every field in the present world involves a set. The theory of sets was developed by German mathematician Georg Cantor while working on the “problems of trigonometric series”.