Write each set using set-builder notation and inequalities. (a)     A = {1, 2, 3, 4, 5, 6,....}   (b)     B = {2, 4, 6, 8, 10, 12, 14, 16, 18, 20}   (c)     C = {−3, −4, −5, −6, −7}

Q: Ordinal data are those that exhibits a logical order such as college semesters, course codes,…

A: We have to check the above statement is true or false?

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

A:

Q: For Exercise, write the set as a single interval. [(-, -2) U (4, o)]N (-5, 3)

A:

Q: Determine if the set is the empty set. {x|XEN and 7 <x< 14} Choose the correct answer below. The set…

A: We have given set {x | x in N and 7&lt; x &lt; 14 } This set in roster form { 8, 9, 10 , 11, 12, 13}

Q: 15) Skills Review Identify the inequality as a conjunction or a disjunction. I > 12 and æ < 19…

A: We are asked to find the given inequalities is disjunction or conjunction.

Q: Express each interval in set-builder notation and graph:a. [-2, 5)    b. [1, 3.5]     c. (- ∞, -1).

A: For closed brackets the equality sign hold. For the open brackets the equality sign will not hold.…

Q: Express interval in set-builder notation and graph the interval on a number line. [-3, 1]

A:

Q: Fill in the blanks in the following sentence: If A and B are any sets, then by definition of set…

A:

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: Express each interval in set-builder notation and graph:a. (-1, 4]      b. [2.5, 4]     c. (-4, ∞).

A:

Q: Describe the set as a union of finite or infinite intervals {x : Ix - 4 I &gt; 2}

A: x:x-4&gt;2

Q: Express each interval in set-builder notation and graph: a. [-2, 5) b. [1, 3.5]

A: Now set-builder form is, The graph is,

Q: Express interval in set-builder notation and graph the interval on a number line. [-4, 3)

A: Given interval is [-4,3) Here, x is greater or equal to -4 and less than 3. In set builder notation…

Q: operational sets

A: It is given that, the set is

Q: Hi, can someone help me with Sets? List a pair of real-world examples of sets belonging in the same…

A: Sets

Q: I could really use help answering this set of questions. We are supposed to write it with words, no…

A: (a)Consider the set as A= {7, 8, 9}.The set builder notation of the given set is A= {x: x is an…

Q: Express the given interval in set-builder notation and graph the interval on a number line : [-4, 3)

A: To express the given interval in set-builder notation and graph the interval on a number line.

Q: How do you identify sets

A: The objective is to write how to identify sets.

Q: (c).Give an example to show arbitrary union of open sets is again open. Is the result true for…

A:

Q: Express each interval in set-builder notation and graph: [-2, 5) b. [1,3.5] c. (-*, -1). а.

A: Given we have to express each interval in set builder form

Q: Express interval in set-builder notation and graph the interval on a number line. (2, ∞)

A: The given interval is (2, ∞)

Q: Describe the intersection and union of sets. How do they differ?

A: Definition : (1) Intersection of the sets : The intersection contains the elements that the two sets…

Q: Using the variable x, write the interval (3,9] using set-builder notation. (3,9]= {x|__}

A: The given interval,     (3,9]

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

A:

Q: Briefly explain set union

A:

Q: Determine if each statement is true or false. 1. If A not equal to B then A ∩ B = empty set. 2. If…

A: we will be using basic set theory to answer these questions

Q: Express the set using set-builder notation. Use inequality notation to express the condition x must…

A: Set builder notation is a mathematical notation used to express the elements in a set.

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: What is the statement x > -9 and x<-1 interval notation? O (-9,-1] O (-9,-1) O 19,-1] O 19,-1)

A:

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: -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: sets X and Y

A: Take the two sets X and Y . The difference of set X and Y is set of whole elements in set X but not…

Q: Consider the sets X and Y. Write the statement in symbols: The complement of the intersection of X…

A: Given,  X, Y are sets   Symbol for complement of the intersection of X and Y = (X ∩ Y)c

Q: 3. Using propositions aided by two-column proof, show that AAB = AUB. (Just choose one direction to…

A: 3. A Δ B=A ∪ BThen ,A Δ B=(A ∪ B)-(A ∩ B)=(A ∪ B) ∩ (A ∩ B)C =(A ∪ B) ∩ (AC ∪ BC)=(A ∩ (AC∪ BC)) ∪…

Q: Write out in words the description of the set. {x|x  , x  E}  where  E = {2, 4, 6,   } List the set…

A: roster form:representing set values in a {} separated with comma, called the roster form

Q: The domain is {A, B, C, D, E, F, G, H}. The relation is the set: {(C, B), (D, C), (C, F), (G, H),…

A: Given domain is A, B, C, D, E, F, G, H   The relation is the set C, B, D, C, C, F, G, H, F, B, A, B,…

Q: Write the set in set-builder notation. {3, 4, 5, 6, 7} {x | x =         ,  where n is an integer…

A:

Q: IV. Using the Rule Method and the Set builder notation to describe each of the following sets whose…

A: 1. The given set is D=Rudy, crocodile, π. Then by rule method it can be written as D=x| x is a name.…

Q: Find AnB, the intersection of sets A and B. A={x: x is a natural number less than 4} B = {3, 4, 5,…

A: Intersection of sets: It is the set of all those elements of the sets A and B which belong to both…

Q: Express the given interval in set-builder notation and graph the interval on a number line : (-2, 4]

A:

Q: Express interval in set-builder notation and graph the interval on a number line. [-3, 5)

A:

Q: Express interval in set-builder notation and graph the interval on a number line. (-2, 4]

A: To express the interval in set builder notation

Q: The number of relations on the set A = {1, 2} is 256 . O True False

A: Number of relation with n elements 2n2

Q: Write the following in set-builder notation H={2,4,6,8} I={1,3,5,....} J={1,2,3,4,6,12}…

A:

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

A:

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.

Q: Prove using the properties of set operations: An (B-C) = (ANB) - (ANC)

A:

Q: Write out in words the description of the set. {x|x  , x ≠ 9}   List the set in roster form. (Enter…

A: Here contents of a set are described by listing of set of elements which are separated by commas,…

Q: Write the set in set-builder notation (in terms of x) and in interval notation. Part I out of 2…

A: A set builder notation describes or defines the elements of a set instead of listing the elements.…

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”.