proper subset of another set

Q: Which of the following sets are closed under addition? Explain why they are or are not closed. d.…

A: As per our guidelines we are supposed to answer only one question at a time. So submit the other…

Q: List All The Subsets Of The Given Set :  {cranberry,orange,grapes}

A: The Given Set is : {cranberry,orange,grapes}

Q: 2х-3 > 1 х+1

A: Given,          2x-3x+1≥1

Q: Use set-builder notation to write the following set. {1, 2, 3, 4, 5,   }

A: Set of natural number is defined as:-  N = 1 , 2 , 3 , 4 , 5 , .............

Q: State whether or not each of the following sets is closed under the operations of addition and…

A:

Q: Write the following sets in set-builder notation. There may be more than one correct…

A: To Write the following sets in set-builder notation.

Q: Explain the main difference between Julia set and a Mandelbrot set.

A: We know that, For a complex numbers c, Both Julia set and Mandelbrot set of c is the set of all z…

Q: Provide 2 examples of sets with |A| = 4, |B| = 3, |AUB| = 6

A: Number of elements in set A is 4, in set B is 3 and in set A U B is 6.

Q: Tell whether the following pair of sets is a subset or a proper subset A={2,4,6,8} and B={4,6,2,8}…

A: A is subset of B if all elements of A are also the elements of B. A is proper subset of B,if A is a…

Q: Write a description of the set : (5, 7, 9, 11, ..)

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Q: Suppose A and B are sets such that |A| = 2 and |B| = 3. What is |P(A x B)|?

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Q: can two disjoint sets be close? Justify your answer using an example.

A: We know that any closed interval of the form [a,b] is an closed set. We use this fact further.

Q: Let X={a,b,c} and Y=∅. What is X∩Y? If the set is empty type ∅, otherwise write your answer in…

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Q: Write the set A = {1, 4, 9, 16, 25, . . . }in set-builder form.

A: Given:

Q: If a set A has 63 proper subsets, what is |A|? *

A: Solution...

Q: Can sets have different names? Give a precise definition of a set. Give two different notations…

A: A set can be defined in mathematical terms or not in mathematical terms. A way of representing sets…

Q: What is a set? What is a subset? How can we show that a set is equal to another set, using this…

A: To define: the set, subset. To show: a set is equal to another set. Please post the multiple…

Q: Simplify the set expression (X∩Y’) ∪ (X∩Y)~X’ using the Laws on Sets.

A: (X∩Y') ∪ (X∩Y)=(X∩Y') ∪ X ∩ (X∩Y') ∪ Y  distributive property, A∪(B∩C)=A∪B∩(A∪C)=X∩ (X∩Y') ∪ Y…

Q: : Let A be a set. Show that Ø×A = A× Ø = Ø.

A:

Q: the difference between sets, subsets and proper subsets.

A: Set: A set is a group of collections of numbers or objects considered as an object in its own right.…

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: Answer the following True or False. (a) {1,2,3} is a subset of {3,2, 1, 4}. (b) {3,2, 1, 4} is a…

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Q: List all subsets of the given set. (α, β, Γ, Δ}

A:

Q: Describe the following sets in words and/or pictures: 1. {(x,y,z): y = x2 } 2. {(x,y,z): y > z }…

A: Here, to describe the given sets in words and/or picture.

Q: Write a set that is equivalent but not equal to the set letters in the word major

A:

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: Find the number of proper subsets for the following set: L {x | x is a letter found in the word…

A: We have to find the number of proper subsets.

Q: Simplify the set expression (X∩Y’) ∪ (X∩Y)~X’ using the Laws on Sets.

A: To prove:X∩Y'∪X∩Y~X The laws to be used are: A∪A∩B=A,A∩A∪B=A A∪B∩C=A∪B∩A∪C A∪A'=S A∩S=A

Q: The empty set is open set

A: See the detailed solution below.

Q: a. If Set X = {x| xeZ and x is your phone number } %3D and Set Y = {x]x is the letters of your birth…

A: Set X=x:x∈Z and x is your phone number and Y=x:x is the latters of your birth place. Then we have to…

Q: Suppose A={-1, 0, 4}.Find a set B such that A is equivalent to B.

A: Two sets A and B are said to be equivalent to each other if both the sets A and B have same number…

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: Devise, or create a Set that is Not Well-Defined. Write the set in words. Tell why the set is not…

A: Solution.... A collection of well defined objects or elements is called set.

Q: Find the complement of the set given that U = {0, 1, 2, 3, 4, 5, 6, 7, 8, 9}. (Enter your answers as…

A: First we write {x | x N and x < 6} in roster form. Note: N=set of natural numbers

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

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

Q: Decide whether the statement is true or false. Two set A and B are equal if have the same number of…

A:

Q: Choose the correct Set-builder form for the following set written in Roster form: {-8, – 7, –6, –5,…

A: We have to find correct roster form.

Q: Refer to the accompanying figure, and list the points that belong to each set. (Enter your answer…

A: A = {r, u, v ,y} B = {r, v, w, x} C = {r, u, w, z}

Q: Which set is the subsets of all given sets {0,1,3, 5, 7} {0} {1}

A:

Q: TRUE (c) The union of two sets, A and B, is the set of all elements in A and B. FALSE

A: We have to say whether it is true or not " The union of two sets A and B is the set of all elements…

Q: Write a description of the set (6, 7, 8, 9)

A: Consider the given set as A=6, 7, 8, 9. Natural numbers set is a set with which you should be…

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: - (AUB)en(AnB) For an arbitrary set A and B, determine the

A:

Q: se an element of argument to prove for all sets A,B,C (A-B)∩(C-B) = (A∩C)-B please explain if…

A: Let A, B, C are the three sets which can be assumed as,  A=1, 2, 3, 4 B=3, 4, 5, 6 C=1, 2, 3, 7, 8…

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

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Q: Make sure that the set {(-1,1), (3, 0), (2, 5)} generate R4

A:

Q: Which of the following sets is (are) closed under multiplication? Explain why or why not. d.{0, 1}…

A: (d) the set {0,1} is closed under multiplication, because, 0•0 = 0, 0•1 = 0, 1•0 = 0 &, 1•1 = 1