. List all terms in each set a. The set of all positive even numbers less than or equal to 10 b. The set of all letters in the word "AUSTRALIA". c. The set of all whole numbers greater than 3 and smaller than 16, and divisible by 3. d. The set of all whole numbers greater than 5 and smaller than 35, and divisible by 5. e. The set of all prime numbers divisible by 3. f. The set of all numbers whose absolute value is equal to 7.

Q: Given that Z denotes the set of all integers and N the set of all natural numbers, describe each of…

A: The set of integers, Z can be represented as follows. Z={…,-3,-2,1,0,1,2,3, …} The set of natural…

Q: IV. Determine whether each of the following sets is finite, infinite, or null. 10.The set of the…

A:

Q: For what values of nn will the number of ways of selecting nn items from 60 exceed the number of…

A:

Q: 1) Identify whether the given set is a well-defined or not. a. Factors of 50 b. Even number c. Happy…

A: Set: A well-defined collection of objects or elements is called a set. We can represent a set in…

Q: Suppose that the number of subsets with k elements, made out of a set of n elements is called by the…

A:

Q: Let the universal set U = {x | x is a non-negative integer}. Let A = {x €U | æ is divisible by 6}, B…

A: This is a problem of set theory.

Q: 14. Let A, be the set of all multiples of 2 except for 2. Let Az be the set of all multiples of 3…

A: Given that A2 is the set of all multiples of 2 except for 2. In this set all the even numbers except…

Q: List all the elements of the following sets :(i) A = {x : x is an odd natural number}(ii) C = {x : x…

A: (i) A = {x : x is an odd natural number} = {1,3,5,7,9,11,.....}   (ii) C = {x : x is an integer, x2…

Q: Compute (x - 5) for the following set of n = 7 values. x1 = 8, x2 = 19, x3 = 14, x4 = 10, x5 = 16,…

A:

Q: 3. List up all elements in the set A\B where A = {r € Z[0.01 < 2² < 100}, B= {r € Z]0.01 < r³ <…

A: Difference of sets: The difference of any two sets A and B is given by A/B = A – B. In other words,…

Q: 26

A: (DUE)\'^F = {h}

Q: 6. Identify whether the following are finite or infinite sets. a. The sets of first 50 natural…

A:

Q: Let A be the set of integers that are multiples of 3 between 1 and 15 inclusive and B be the set of…

A: Multiples of 3 between 1 and 15 (inclusive) are {3,6,9,12,15}. Set of even natural numbers up to 20…

Q: b. How many elements are in the set {a, {a, b}, {a} }? C. For each positive integer x, let A1` =…

A: Use the definition of set and its elements to solve this problem as in next step.

Q: How many different words with or without meaning can be formed with the letters of the word…

A:

Q: In which of the following sets are there in- finitely many prime numbers? {n? – n+ 41 : n E \N} {бn…

A:

Q: Consider five-digit numbers  = a1 a2 a3 a4 a5, with each digit from the set {1, 2, 3, 4}. a. How…

A: Solution is given as below:

Q: How many positive integers between 100 and 999 inclusive   d) are not divisible by either 3 or 4?…

A: The set: A∪B contains all the elements that are present in set A or B. The set A-B contains all the…

Q: Consider the following one-to-one correspondence between the set B of all odd integers and the set N…

A:

Q: Which list of numbers is ordered from greatest to least? O 3. 49 x 10', 2.73 x 10°, 4. 27 x 10', 1.…

A:

Q: ) If X is the set of even numbers between 8 and 20 inclusive, and Y is the set of numbers divisible…

A:

Q: Is {1, 3, 5} a subset of the set of odd integers?

A: {1, 3, 5}

Q: Suppose that J and K are points on the number line. If JK= 10 and K lies at 3, where could J be…

A:

Q: Let A be the set of odd integers, and let B be the set of positive integers less than 10.  Find A∩B

A: our objective is to find A intersection B

Q: Let O be the set of Odd integers and E be the set of Even integers. Find (0-E)U(E-O). Answer:

A:

Q: 13. The following are empty sets except A. {} B. {x:x € N, x + 999,999 = 999,999} C. {x:x is a whole…

A: Answer (13) We have to check which set is non empty  (A) {}  It is an empty set

Q: List all the element of the following set: B = {X: X is an integer, - 12 <x< 92} {x such that x is…

A: We have to write set from one form to other.

Q: 36. Let the universal set U = {r | x is a non-negative integer}. Let A = {x E U | x is divisible by…

A:

Q: List all the element of the following set: B = {x: x is an integer, - 12 < x< 92} {x such that x is…

A: A set is a collection of elements. A set cam take any type of mathematical objects. Set theory is a…

Q: Consider the following sets: A = {all prime numbers less than 12} B = {all positive even integers…

A: We will write the sets out in Roster method and then answer the following:

Q: 1)Use the pigeonhole principle to prove the following statement.    Given any seven integers, there…

A: Solution: Given seven integers and we have to prove out of those seven  4 integers for which the sum…

Q: Which of the following is an example of an empty set? O The set of all odd prime numbers divisible…

A:

Q: There are 13 people standing on a moving bus. At the next stop, 7 of the people who are sitting down…

A:

Q: 7. Consider the following subsets of R: A=[0,1] and K={all the (positive) prime numbers} Which set…

A:

Q: 36. Let the universal set U = {r |x is a non-negative integer}. Let A = {r EU|x is divisible by 6},…

A: as per our guidelines we are supposed to answer?️ only one question. Kindly repost other question as…

Q: n how many distinct ways can the digits in the number 1,243,520,326 be arranged? (If there are any…

A: Given number 1,243,520,326 Total number of digits=10 Number of 1's=1 Number of 2's=3 Number of 3's=2…

Q: 4.The set of integers from 1 to 10 that is divisible by 3.

A:

Q: The set of odd integers between 18 and 29 (inclusive) is: Write the set with the roster notation.

A: The objective of the question is rewrite the given sets in roster notation.

Q: Let C be the set of natural numbers greater than 5 less than 15. Write C using the descriptive…

A:

Q: (d))For all integers a, b, and c, if a | b or a c, then a | bc (e) For all integers a, b, and c, if…

A: (d) let for all integers a,b,c if a|b or a|c so a|b or a|c ⇔b = ak1 or  c = ak2  for some integers…

Q: Find the number of strings of n (not necessarily different) lower case letters from the English…

A:

Q: Is {2,2}={2, {2} }? How many elements are in the set {a,a,a,a,a}? {x€N|xis greater than 10 and x…

A: First we have to check 2,2=2,2. Here in set 2,2 2 is the element but in 2,2 2 and 2 are the…

Q: Which of the following sets are closed under subtraction? O The set of all whole numbers. O {0,1} O…

A: Option B Because if you will take any number between zero and one and you will get the difference…

Q: Let A denote the set of all 4 digit numbers that are divisible by 3, and B denote the set of all 4…

A: Given, A denotes the set of all 4 digit numbers that are divisible by 3 B denote the set of all 4…

Q: The Archimedean Property states that the set N of natural numbers is unbounded above in R. It is…

A: Given: The set ℕ of natural numbers is unbounded above in ℝ. To show: The following statements are…

Q: Let S be the set of numbers of the form { ((-1)^(n + 1)) (n - 1)/(n + 1) } where n is an element of…

A:

Q: Suppose we randomly select a subset of positive integers. How large must the subset be, if we want…

A: The Pigeonhole Principle:  If there are p+1 or more pigeons, need to distribute among p pigeonholes,…

Q: 1. Determine whether the following sets are finite or infinite. Indicate your choice by writing…

A:

Q: M is the set of integers that are greater than -1 and less than 4.

A: M is the set of integers