What is the set of all even counting numbers less than 0? Help plss
Answers & Comments
jhanyne
In short, the set formed by the negative integers, the number zero and the positive integers (or natural numbers) is called the set of integers. They are denoted by the symbol and can be written as: Z = { … , − 2 , − 1 , 0 , 1 , 2 , … }
The set of even counting numbers is {2, 4, 6, 8, 10, …}. The set of odd counting numbers is {1, 3, 5, 7, 9, …}. The set of even whole numbers is {0, 2, 4, 6, 8, 10, …}. The set of odd whole numbers is {1, 3, 5, 7, 9, …}.
A natural number (whole number) is an even number if it is a multiple of two. A natural number (whole number) that is not an even number is an odd number.
General Property:
A value of the form 2n, where n is a counting number (whole number), is an even number.
A value in the form of 2n – 1 where n is a counting number is an odd number.
A value in the form of 2n + 1 where n is a whole number is an odd number.
Note that an odd number is always one less (or one more) than some even number, 2n.
Set-Builder Notation:
The set of even counting numbers is {x : x = 2n where n ∈ N}.
The set of odd counting numbers is {x : x = 2n – 1 where n ∈ N}.
The set of even whole numbers is {x : x = 2n where n ∈ W}.
The set of odd whole numbers is {x : x = 2n + 1 where n ∈ W}.
Roster Notation:
The set of even counting numbers is {2, 4, 6, 8, 10, …}.
The set of odd counting numbers is {1, 3, 5, 7, 9, …}.
The set of even whole numbers is {0, 2, 4, 6, 8, 10, …}.
The set of odd whole numbers is {1, 3, 5, 7, 9, …}.
Some Other Factor Facts
A counting number that ends in an even digit is an even number.
A counting number that ends in the digit 5 or 0 has 5 as a factor.
A counting number that ends in the digit 0 has 10 as a factor.
A counting number that ends in two zeros has 100 is a factor.
Answers & Comments
The set of even counting numbers is {2, 4, 6, 8, 10, …}. The set of odd counting numbers is {1, 3, 5, 7, 9, …}. The set of even whole numbers is {0, 2, 4, 6, 8, 10, …}. The set of odd whole numbers is {1, 3, 5, 7, 9, …}.
Answer:
A natural number (whole number) is an even number if it is a multiple of two. A natural number (whole number) that is not an even number is an odd number.
General Property:
A value of the form 2n, where n is a counting number (whole number), is an even number.
A value in the form of 2n – 1 where n is a counting number is an odd number.
A value in the form of 2n + 1 where n is a whole number is an odd number.
Note that an odd number is always one less (or one more) than some even number, 2n.
Set-Builder Notation:
The set of even counting numbers is {x : x = 2n where n ∈ N}.
The set of odd counting numbers is {x : x = 2n – 1 where n ∈ N}.
The set of even whole numbers is {x : x = 2n where n ∈ W}.
The set of odd whole numbers is {x : x = 2n + 1 where n ∈ W}.
Roster Notation:
The set of even counting numbers is {2, 4, 6, 8, 10, …}.
The set of odd counting numbers is {1, 3, 5, 7, 9, …}.
The set of even whole numbers is {0, 2, 4, 6, 8, 10, …}.
The set of odd whole numbers is {1, 3, 5, 7, 9, …}.
Some Other Factor Facts
A counting number that ends in an even digit is an even number.
A counting number that ends in the digit 5 or 0 has 5 as a factor.
A counting number that ends in the digit 0 has 10 as a factor.
A counting number that ends in two zeros has 100 is a factor.
Step-by-step explanation: