The set of natural numbers that are less than 7

Q: the set {1,3,4,6,7,8,9}, how many odd numbers can we construct between 100-999 if each element can…

A: We have to solve given problem:

Q: Examine the properties of the operation o defined by the equation xoy= x2+y2 in the N natural…

A: Given: The equation x∘y=x2+y2 in the N natural numbers set

Q: Find (a) the number of subsets and (b) the number of proper subsets of the set. {x|x is an even…

A: A set is defined as the collection of a well-defined object. A is said to be a subset of B if all…

Q: "If a and b are positive integers, a divides b and b divides a, then a = b."

A: To Prove: '' If a and b are positive integers, a divides b and b divides a, then a = b''.

Q: if a,b and c are integers such that a|bc then a|b or a|c True or False Please give example

A:

Q: List the elements of the set. (Enter your answers as a comma-separated list.) A = {n |n is a…

A: Given that, a set A is defined as: A=n|n is positive integer and 10<n<18 That implies the set…

Q: Use the roster method to write the set of integers between 0 and 12

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: List the elements of the set. (Enter your answers as a comma-separated list.) A = {n | n is a…

A:

Q: Find the smallest number n for which n! is larger than the population of the world.

A: World population is 7.98 billion till October 2022 It according to worldometer by United States.…

Q: Place a check mark in the table to identify all the sets that the identified number belongs to.

A: Natural Numbers -  All numbers starting from 1 to infinity are natural numbers.Whole numbers - All…

Q: Discrete Mathematics How many n-digit numbers are there with at least one of the digits 1 or 2 or 3…

A: when 1 is absent,  There are 8 digits at first i.e. 2,3,4,...,9. So upto n, there are (n-2) digits.…

Q: Set A is the set of factors of 24, set B is the set of even natural numbers less than 25, and set C…

A: Set A is the set of factors of 24, set B is the set of even natural numbers less than 25, and set C…

Q: In a house, there are f(n) fruit flies that started with a single group of n bananas on the counter.…

A: n represent the number of bananas, So, n cannot be negative as well as cannot be non integer value.…

Q: Prove the statement that "The sum of three consecutive integer numbers is odd if and only if the…

A:

Q: Let A be the set of integers bigger than 3 and smaller than 10 and B the set of positive integers…

A: Solution-Let A be the set of integers bigger than 3 and smaller than 10.A={4,5,6,7,8,9}

Q: Using the set {1,3,4,6,7,8,9}, how many odd numbers can we construct between 100-999 if no element…

A: An odd number is determined by the unit digit. If the unit digit is an odd number, then the number…

Q: Which of the following numbers are NOT integers? 2, -0.5, -5, 1/2, 0

A: As we know,  Integer are the numbers which can be positive, negative or zero, but cannot be a…

Q: How many irrational numbers are there?

A: How many irrational numbers are there?

Q: Show that the set of Natural Numbers (N) is a closed set.

A: The objective is to prove that the set of natural numbers is closed. To prove that it is closed we…

Q: What is the set N of all natural numbers?

A: Set of all integers: ℤ={.......,-3,-2,-1,0,1,2,3.......} Set of all positive integers…

Q: What is the smallest subset of real numbers -4 fits into?

A: Understanding of the number system is required in order to solve this question. The real numbers are…

Q: 12 belongs to the set of natural numbers

A: The natural numbers (i.e. counting numbers) are numbers which are used for counting and ordering.…

Q: Four different integers formanincreasing A.P. One of these numbers is equal to the sum of the…

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Q: true or false? why , if A an infinite set of irrational numbers, then A is uncountable

A: Given statement is if A an infinite set of irrational numbers, then A is uncountable

Q: 20) Show that the sum of two consecutive integers is always odd.

A: Let x be any integer. Then its consecutive integer can be written as x+1.

Q: Show that the empty set of natural numbers and the set of all natural numbers are both diophantine.…

A: Let n be a positive integer and X a set of n-tuples of natural number . We say that X is diophantine…