SOLUTION: Why can't the elements of a set repeat? Sample A = {4, 5, 6, 5} is wrong because number 5 repeats. Why is it not ok for 5 to repeat?

Algebra.Com
Question 1208383: Why can't the elements of a set repeat?

Sample

A = {4, 5, 6, 5} is wrong because number 5 repeats.

Why is it not ok for 5 to repeat?
Found 2 solutions by Edwin McCravy, ikleyn:
Answer by Edwin McCravy(20054)   (Show Source): You can put this solution on YOUR website!
In mathematics, there is only one number that is labeled "5" or "five" or "V".

A = {4, 5, 6, 5} is not "wrong", it's simply not the simplest way to
write A = {4, 5, 6}.

Writing 2+3 is not "wrong", it's just simpler written as 5.

Edwin
Answer by ikleyn(52779)   (Show Source): You can put this solution on YOUR website!
.
Why can't the elements of a set repeat?
~~~~~~~~~~~~~~~~~~~~


This is a rule for representing/enumerating elements of a set,
established in Mathematics by mathematicians as a general agreement.

Not a subject to discussion by other mortals -
- only the subject to follow this rule strictly.


It's like an accountant in his transaction ledger will not record the same transaction twice.

                        If he will do it, he will lose his job.



RELATED QUESTIONS

1. Describe the effect of increasing the size of a sample on the margin of error of a 95% (answered by stanbon)
Suppose two cards are drawn at random from an ordinary deck of cards. Find the... (answered by math_tutor2020)
Why is this wrong? Problem#: 12- Solve each exponential equation by expressing each... (answered by checkley75)
Let f be a function such that f(0) = 2 and f'(x)<=6 for -10<=x<=10. A) What is the... (answered by Fombitz)
Let f be a function such that f(0) = 2 and f'(x)<=6 for -10<=x<=10. A) What is the... (answered by robertb)
A study wants to examine the relationship between student anxiety for an exam and the... (answered by lynnlo)
For the set {(0,1), (-3, 7), (4, 6), (5, 0), (4,8)}, a. State the domain. b. State... (answered by jim_thompson5910)
In questions 1 - 5, decide whether the given expression is a polynomial and tell why or (answered by greenestamps,MathLover1)
sample n=5 elements from a total of N=50 elements. what is the number of different... (answered by stanbon)