- #1
Natalie1
- 7
- 0
Can Algebra of Sets Determine Solutions for Set Equations Like $AX=C$?
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Discussion Overview
The discussion revolves around solving set equations of the form $AX=C$ using the algebra of sets. Participants explore the application of set theory principles and seek guidance on methodologies and resources for understanding these concepts.
Discussion Character
- Homework-related
- Conceptual clarification
- Debate/contested
Main Points Raised
- One participant expresses a lack of understanding of how to approach solving set equations and requests help, indicating they are unfamiliar with set theory.
- Another participant emphasizes the importance of showing progress in problem-solving to facilitate better assistance.
- A participant suggests that the equation simplifies to $AX=C$ where $C\subseteq A$, proposing that $X=C\cup B$ with $B$ being any set disjoint from $A$.
- There is a request for recommendations on books or resources that explain how to solve such equations, indicating a desire for further learning.
Areas of Agreement / Disagreement
Participants generally agree on the need for foundational knowledge in set theory to tackle the problem, but there is no consensus on a specific method for solving the equation or on the resources available for learning.
Contextual Notes
Some participants express uncertainty about the application of set theory laws and the specific steps required to solve the equation, highlighting a potential gap in understanding foundational concepts.
Who May Find This Useful
Individuals interested in set theory, particularly those seeking to understand set equations and their solutions, may find this discussion relevant.
- #2
MarkFL
Gold Member
MHB
- 13,284
- 12
Re: Help me please, how to solve this in algebra of sets?
Hello, Natalie! (Wave)
We ask that our users show their progress (work thus far or thoughts on how to begin) when posting questions. This way our helpers can see where you are stuck or may be going astray and will be able to post the best help possible without potentially making a suggestion which you have already tried, which would waste your time and that of the helper.
Can you post what you have done so far?
I have also edited your post to include the question in the body. We do ask that the complete question be in the post rather than in the title of the thread only. :)
Hello, Natalie! (Wave)
We ask that our users show their progress (work thus far or thoughts on how to begin) when posting questions. This way our helpers can see where you are stuck or may be going astray and will be able to post the best help possible without potentially making a suggestion which you have already tried, which would waste your time and that of the helper.
Can you post what you have done so far?
I have also edited your post to include the question in the body. We do ask that the complete question be in the post rather than in the title of the thread only. :)
- #3
Natalie1
- 7
- 0
I don't have any idea how to solve such tasks. Thats why I ask for help. Maybe you can show the algorithm of solving it, if you know. Or, I would appreciate if you could advise me sites/books that show how to solve such equations. What should I do? I have no idea how to solve it, that's why I'm asking for help. Please, please help me. I know only laws View attachment 5283, but how to apply them? My progress is only in that I know that I must use De Morgan law here.
Attachments
- #4
MarkFL
Gold Member
MHB
- 13,284
- 12
I never studied set theory, but there are folks here who have, and now knowing where you stand with the problem, they will be better quipped to give you relevant help. :)
- #5
Evgeny.Makarov
Gold Member
MHB
- 2,434
- 4
The equation simplifies to $AX=C$ where $C\subseteq A$. Therefore, $X=C\cup B$ where $B$ is any set disjoint with $A$.
- #6
Natalie1
- 7
- 0
Evgeny.Makarov said:
Tell me how did you solve it? Can you recommend me books (in english, or in russian), that explain such kind of equations?
Last edited:
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