Re: Union and Intersection of Sets

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SUMMARY

The discussion focuses on the mathematical concepts of union and intersection of sets, specifically addressing the sets A={1,2,3} and B={1,2,3}. The union of these sets is A ∪ B = {1, 2, 3}, while the intersection is A ∩ B = {1, 2, 3}. Participants emphasize the importance of demonstrating prior work to facilitate effective assistance and learning. The moderator encourages users to engage actively in problem-solving rather than seeking direct answers.

PREREQUISITES
  • Understanding of basic set theory concepts
  • Familiarity with mathematical notation for union (∪) and intersection (∩)
  • Ability to manipulate and compare sets
  • Basic problem-solving skills in mathematics
NEXT STEPS
  • Study the properties of union and intersection in set theory
  • Learn about Venn diagrams for visualizing set operations
  • Explore advanced set operations such as set difference and Cartesian products
  • Practice solving problems involving multiple sets and their relationships
USEFUL FOR

Students studying mathematics, educators teaching set theory, and anyone interested in enhancing their understanding of mathematical operations involving sets.

Farhan1
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Re: Union and Intersection of Sets

Hi, Please I need a help regarding Union of sets

can anybody solve this

A={1,2,3} and B={{1,2},3} then what is A Union B and A Intersect B

Thanks
 
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Re: Union and Intersection of Sets

Hi farhan and welcome to MHB! :D

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?

Also, I've moved your post into a new thread so the topic discussion can easily be referenced by other members. In future, please post your questions in their own thread. :)
 
Re: Union and Intersection of Sets

Thanks for Guiding me Moderator! I am just a Bachelor student and I stuck here with this question. Find your site and hope I will get my query done. Once again thanks
 
Re: Union and Intersection of Sets

Hello and welcome to MHB, Farhan! (Wave)

Farhan said:
...Find your site and hope I will get my query done.

Our mission here at MHB is not to do your work, but to help you figure out how to do it, so you actually learn by being part of the process, rather than simply being given the answer.

If you are given two sets $A$ and $B$, then the union of those sets $A\cup B$ is the set containing all elements found in either $A$ or $B$, while the intersection $A\cap B$ of those sets is the set containing all elements found in $A$ and $B$.

For example, suppose we are given:

$$A=\{1,2,3\}$$

$$B=\{2,3,4\}$$

Then we have:

$$A\cup B=\{1,2,3,4\}$$

$$A\cap B=\{2,3\}$$

Can you now post some progress on your question?
 

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