3. Are the following sets equal? A = {x € Z:5 < x < 10} and B = {9,8,7,6}, where Z denotes the set of all integers. Justify your answer.

Q: Evaluate if x=4,8,3,-2 ∑x ∑x+1 ∑(x+1) 3∑x - 4

A: Given that  if x=4,8,3,-2

Q: 15. Let C = {(2n + 1)³: n E R } and D = {2n + 1:n € R}. What is the relation between these two sets?…

A: Let us consider the set A and B then, If all the elements in the set A is in B then A is said to be…

Q: 1) -141, Vī, -8.5 , vZ , 1000

A: Since you have asked multiple questions in single request.so we will answering only first question.

Q: c. Which set is equal to (B\A)¢? d. What is the cardinality of a countably infinite set?

A:

Q: Describe the set of numbers that satisfy the following condition: -x is positive

A: the given condition is that -x is positive. this implies x is negative.

Q: For the set ?={−3,0,57,−8‾√,2.314520968724609....,14}A={−3,0,57,−8,2.314520968724609....,14}.…

A: Given :A=-3,0,57,-8,2.314520968724609...,14To indentify those that are…

Q: The mean of the set {27,15,15,23,x} is 40. What is the mean of the set {1.5x,3x,11,8,12}?

A: Given , The mean of the set { 27 , 15 , 15 , 23 , x  } is 40We have to find the mean of the set…

Q: 24 Consider a set {1, 2, 3, ..., 19, 20}. How many subsets of 6 elements a) contain four even and…

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

Q: ***** 7. Let n be a positive integer. If = {A1, A2, , . 8. If the sequence of sets An) is a field…

A: Since you have posted a question with multiple sub-parts, we will solve first three sub- parts for…

Q: Select the set that is equivalent to (Cn B) UA. (Cn B)UA (CUB) UA (CnB) nA (CUB) NA

A:

Q: For any set of numbers, one-half of them is less than mean, is it "True" or "False"? O True O False

A: Mean:  Mean is the arithmetic average of a data set. Set of numbers:  set of numbers can be positive…

Q: Is the following statement true or false? {0} ⊂ {0}

A: given that                                                    {0}⊂{0} we have to check is the…

Q: C = {whole numbers} and D = %3D {rational numbers} A={multiples of two} and B = {multiples of three}…

A:

Q: If U is the set of all multiples of 3 less than 20, and M={3,12,18}, find Mc (the complement of M).…

A:

Q: 3. True or False 1. Write in words the ff. set notations a. 3 € {1,2,3} b. 1C{1} c. {2} € {1,2} d.…

A:

Q: k A reciprocal of a quadratic function has the form f (x) = (x-r)(x-s)' ker, k0. The graph is shown…

A:

Q: Express the set in interval notation. 3 Select one: O a. [3,9) O b. (3,9] O c. [3,9] O d. (-∞,3) 9

A: The number line represents the solution  the aim is to find the solution in interval notation

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: Indicate whether the two sets are equal. D = {x: x is a natural number less than 3}, E = {1, 2, 3}

A:

Q: O Equal O Equivalent

A: Given: The set A=2, 4, 5, 8. The set B=2, 4, 6, 8. Two sets P and Q are said to to equal, if each…

Q: The following sets are given. A = {7, 8, 9, 10, 11} B = (6, 7, 8, 9, 10} Are the sets equal? Yes Ο…

A: Solution is done in step 2

Q: Let D = {b, a, c, k}, E = {t, a, s, k}, F = {b, a, t, h}. Using these sets, find the following: F ^c…

A:

Q: How do you identify sets

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

Q: Let A, B, C, D be sets. (ANB)x(CND)=(AXC)n(BxD). True. False.

A: Use the basic properties of intersection and cartesian product to prove the given relation.

Q: Show that the set of irrational numbers is not a closed set.

A:

Q: Write the definition of A x B, where A and B are sets A x B = { }.

A: We want to define A x B

Q: Find the total number of integers 'n' such that 2 ≤ n ≤ 2000 and H.C.F. of n and 36 is 1.

A:

Q: If={1,2,3,4,5) and = (0,0, (1), (2,3), (4,5), (1,2,3), (1,4,5), (2,3,4,5)} then If Q=set of positive…

A:

Q: B = {ncN|n < 100}

A: Given  B = { n € N  | n3 &lt; 100}

Q: 3. A proper subset of a set S is a subset of S which is not equal to S itself. Some people write "A…

A: Introduction: If Set B has at least one member that is absent from Set A, Set B is said to be a…

Q: Q3: What are the ways tha

A:

Q: Set of months with exactly 30 days. Set of negative integers greater than -8. Set of integer(s) x…

A: Since you have posted multiparts question and we can answer three subparts. So, answered first three…

Q: Indiana's favourite set is A= {r² +1: z€ Z, –35a51}, and Marcus's favourite set is just B=…

A: Consider: A=x2+1: x∈Z, -3≤x≤1 and B=3, 4, 5, 6, 7, 8. Substiute x=-3, -2, -1 , 0 ,1 into x2+1 and…

Q: B. Find a number that provides a counterexample to show that a given statement is false x, x³…

A: For all number x, (x+1)(x-1) over (x-1) is equals to x+1

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

A:

Q: Determine real numbers a and b such that |x+a|−b≤0 iff -4≤x≤12.

A: given  x+a-b≤0if -4≤x≤12

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”.