Another Elements-in-the-Set Question

  • Thread starter Thread starter Math100
  • Start date Start date
Click For Summary
SUMMARY

The discussion centers on the interpretation of a mathematical problem involving set-builder notation, specifically referencing the set of integers denoted as ℤ. Participants confirm the correctness of the notation and clarify misunderstandings regarding the use of symbols. The conversation highlights the importance of precise notation in mathematical communication and the potential for misinterpretation when symbols are used ambiguously.

PREREQUISITES
  • Understanding of set-builder notation
  • Familiarity with the set of integers (ℤ)
  • Basic knowledge of mathematical symbols and their meanings
  • Experience with mathematical problem-solving techniques
NEXT STEPS
  • Research advanced set-builder notation examples
  • Explore the properties of the set of integers (ℤ)
  • Study common mathematical symbols and their proper usage
  • Learn about mathematical communication best practices
USEFUL FOR

Mathematics students, educators, and anyone involved in mathematical problem-solving or notation clarification will benefit from this discussion.

Math100
Messages
817
Reaction score
230
Homework Statement
Write each of the following sets by listing their elements between braces.
Relevant Equations
None.
Please confirm the answer, I've boxed around my answer. I want to make sure if this is the correct answer. Thanks.
 

Attachments

  • Work 2.jpg
    Work 2.jpg
    40.1 KB · Views: 184
Physics news on Phys.org
Written a bit strange, and assuming that ##\mathbb{Z}## is indeed the general set the ##x## are taken from, it is correct.
 
  • Like
Likes   Reactions: Math100
fresh_42 said:
Written a bit strange, and assuming that ##\mathbb{Z}## is indeed the general set the ##x## are taken from, it is correct.
It's ℤ, just like you said. Thank you so much for confirming!
 
FactChecker said:
I think this is a fairly standard form of the set-builder notation. https://en.wikipedia.org/wiki/Set-builder_notation#Examples
I meant the arrangements, not the sets. One could have also divided by two directly in the first condition. And the snake for AND is certainly not standard.
 
Last edited:
  • Like
Likes   Reactions: FactChecker
fresh_42 said:
I meant the arrangements, not the sets. One could have also divided by two directly in the first condition. And the snake for AND is certainly not standard.
Sorry. I misunderstood what you were objecting to. Now I see that you were referring to the calculations. I assumed that the "snake" is just meant to separate the two columns of calculations, not a mathematical symbol.
 
Last edited:

Similar threads

  • · Replies 7 ·
Replies
7
Views
2K
  • · Replies 10 ·
Replies
10
Views
2K
  • · Replies 11 ·
Replies
11
Views
2K
  • · Replies 31 ·
2
Replies
31
Views
5K
Replies
8
Views
2K
Replies
13
Views
2K
  • · Replies 4 ·
Replies
4
Views
2K
  • · Replies 23 ·
Replies
23
Views
2K
  • · Replies 10 ·
Replies
10
Views
2K
Replies
10
Views
3K