Check your progress 5: Use set-builder notation to write the following sets. a. The set of integers less than 9 b. The set of natural numbers greater than 4

Q: 3.5 Can two disjoint sets be close? Justify your answer using an example.

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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: Using words, describe what numbers are contained in each set. List the elements. a. {x|- 1£ x£ 12,…

A: a) x is an integer and -1 less than x less than 12 the given set is…

Q: Represent the set using listing method. {x € N, such that a? +7x = 0} O {0, –7} O {0, 7} {0,7} O {0}

A: The given set is x∈N, such that x2+7x=0.

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

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Q: Write the set in set-builder notation. {3, 4, 5, 6, 7} {x | x =

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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: Write the set using the descriptive method.{40,42,44,...,78,80}

A: Topic:- algebra

Q: Write the following in set-builder notation. All positive real numbers.

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Q: Write each set in the indicated form. If you need to use "..." to indicate a pattern, make sure to…

A: To write in roster and descriptive form

Q: In the following, use only the following ideas about sets: • A set is a collection of elements, •…

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Q: In the following, use only the following ideas about sets: • A set is a collection of elements, •…

A: The number of elements in a set is the cardinality of that set. Let X=a, b, c, then X=3.

Q: Explain and give a simple example that shows that the intersection operation on sets is symmetrical.

A: Answer

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: Write {17, 18, 19, 20} using set-builder notation

A: our objective is to write the set in set builder form

Q: Describe the set ?={?:|?^2−5|>6} as a union of finite or infinite intervals.

A: The given set is A = {x: |x2–5|>6}. Apply the absolute rule on the condition as follows.

Q: Represent the set using listing method. {IE N, such that r + 8x = 0} {0,-8} O {0} O None of these…

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Q: Write the set in set-builder notation. {2,4,6,8,10,12,14} Choose the correct answer below. O A. {x|x…

A: Solve the given

Q: For each part, write the set in the form [x | P(x)] (property that describes the elements of the…

A: Explained below

Q: Use the roster method to write the given set. You may need to consult a reference, such as the…

A: Roster method is defined as a way to show the elements of a set by listing the elements inside the…

Q: Use the variable x to write the set in set-builder notation Let K'be the set of natural numbers less…

A: Given statement is: K be the set of natural numbers less than or equal to seven.       ……1

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

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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: Use the roster method to write the given set. You may need to consult a reference, such as the…

A: A whole number is a number that does not contain a decimal. In addition to this, it does not contain…

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: Use the roster method to write the given set. You may need to consult a reference, such as the…

A: To write out the elements of the given set from the (word) description

Q: Write the set {. . . , −7/8 , −3/4 , −1/2 , 0, 1, 3, 7, . . .} using set-builder notation.

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Q: Write each set in the indicated form. If you need to use "..." to indicate a pattern, make sure to…

A: We need to convert roaster to Descriptive form or vice versa

Q: Determine the values of the following set expressions. Ø × {{0}} P({0, {0}}) {0} × {0, {0}} P({{0}})…

A: Note: Hi! Thank you for the question as per the honor code, we’ll answer the first question since…

Q: It is a way to show the elements of a set by listing the elements inside of brackets. * Calculated…

A: It is a way to show elements of a set by listing the elements inside of brackets:

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: Use the roster method to write each of the given sets. a. The set of natural numbers less than 5. b.…

A: According to given data natural numbers less than 5 can be write in roster form as below The set of…

Q: Give an example that achieves the following two infinite sets A and B with A C B and A - B.

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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: Perform the following: a. Use the roster method to write set A, where A is the set of negative…

A: Apologies. We only answer one question at a time. The given question contains 3 questions, so we…

Q: Use the set theory definition of addition to show that 1 + 4 = 5. You may do the work on paper then…

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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: Determine the mode of the set of values. (Enter your answers as a comma-separated list. If there is…

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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: Write a set-builder notation for T = {algebra, trigonometry, geometry, statistics}

A: Given, A set  T = {algebra, trigonometry, geometry, statistics} We have to write a set-builder…

Q: Write the following S= {0, 1, 2, …, 10} in set-builder notation using x as the number of integers in…

A: Set builder form: It is used to express or describe a set, it is a mathematical shorthand for…

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

A: Given

Q: Write the following set using set-builder notation:  {- 6, -7, -8, . . .}

A: Answer and explanation is given below.. Z= sets of integers

Q: . Determine whether the following sets are finite or infinite. Indicate your choice by writing…

A: Dear student as per our rule in one session we can only solve the first three subparts of one…

Q: The center or middle value of an ordered array of numbers is known as O a. Median O b. Mean O c.…

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Q: Write each set in the indicated form. If you need to use "..." to indicate a pattern, make sure to…

A: a) The set of natural numbers is= {1, 2, 3, 4, 5, 6, 7, 8, ....} So the set of odd natural numbers…

Q: Describe the pictured subset of R² in two different ways, first using set-builder

A: From the given picture which is subset of ℝ2, let us assume P is the subset of ℝ2, that is P⊂ℝ.…

Q: Refer to the Venn Diagram shown below. How do you represent the shaded region using set operations?…

A: The given diagram is:

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

A: Solution

Q: Use the roster method to write the given set. You may need to consult a reference, such as the…

A: The set of negative integers greater than −6.