# Roster Method & Set-Builder Notation...2

Discussion in 'Algebra' started by nycmathguy, Jun 24, 2022.

1. ### nycmathguy

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College Algebra
Chapter 1/Section 1
Review

We begin our College Algebra journey with a review of the basics according to the author of the textbook.

Working with sets.

There are two methods for denoting sets:

Roster Method
Set-Builder Notation

Here is Sullivan's example.

Let E = set of even digits

Roster Method

E = {0, 2, 4, 6, 8 }

Why did Sullivan include 0 as an element in set E? To me, 0 is not even or odd. You say?

Set-Builder Notation

E = { x| x is an even digit }

You say?

nycmathguy, Jun 24, 2022
2. ### MathLover1

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Numbers that are completely divisible by 2 are termed as even numbers. These numbers when divided by 2 leave 0 as the remainder. For example, 2, 4, 6, 8, and so on.
2 is the smallest even number. It is also the only even prime number.

so, E = {2, 4, 6, 8 }

MathLover1, Jun 24, 2022
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3. ### nycmathguy

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Are you saying that Sullivan made a typo? To me, zero does not belong in set E.

nycmathguy, Jun 24, 2022
4. ### MathLover1

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Sullivan included 0 which could do if includes negative numbers
like set ....-4,-2,0,2,4,...

MathLover1, Jun 24, 2022
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5. ### nycmathguy

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Sullivan would include 0 if E represents the set of positive integers. However, he said E represents the set of even digits. I know that 0 is a digit but it is not even or odd. I think Sullivan made a mistake.

Read what Sullivan said. See screenshot photo.

You say?

nycmathguy, Jun 24, 2022
6. ### MathLover1

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Sullivan did not make mistake.
When 0 is divided by 2, the resulting quotient turns out to also be 0an integer, thereby classifying it as an even number.

MathLover1, Jun 24, 2022
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7. ### nycmathguy

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I never have been taught that 0/2 = 0 = even digit.
Are you saying that 0/n, where n is any digit is even?
This is so weird.

nycmathguy, Jun 24, 2022
8. ### MathLover1

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yes, 0/n, where n is any digit is even

MathLover1, Jun 24, 2022
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