Solve Set Logic Homework: A∩B

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Homework Help Overview

The discussion revolves around set logic, specifically focusing on the intersection of two sets, A and B, defined in terms of natural numbers. The original poster presents a problem involving the sets X and B, with an intention to find A ∩ B.

Discussion Character

  • Exploratory, Assumption checking, Problem interpretation

Approaches and Questions Raised

  • Participants clarify the definitions of sets A and B, questioning the original poster's notation and assumptions. They suggest listing members of the sets to better understand their contents and the intersection.

Discussion Status

There is an ongoing exploration of the definitions and members of the sets involved. Some participants have provided clarifications and suggested approaches, while others are still questioning the original setup and seeking further details from the poster.

Contextual Notes

There appears to be confusion regarding the original definitions of the sets, particularly with the notation used by the original poster. The discussion highlights the need for clearer definitions and examples to facilitate understanding.

nirajnishad
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Homework Statement


X={n/n belongs to N,X>=4}
B={x belongs N/ x<5}


Homework Equations


then,
A intersection B=________
 
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Your post has several errors in it. There's no A until the final line of your post and your set X contains only elements such that X>=4 which doesn't make any sense.

I assume your intended question is
[tex]A= \{x\ :\ x\in \mathbb{N}\ &\ x\geq4 \}[/tex]
[tex]B=\{x\ :\ x\in \mathbb{N}\ &\ x<5 \}[/tex]

and you want to find [tex]A\cap B[/tex]

You have to show what work you've done so far. How have you tried to solve the problem?
 


Assuming, as Office Shredder suggests, that your sets are
[itex]A= \{n |n\in \mathbb{N} , \ n\ge 4\}[/itex]
and
[itex]B= \{n| n\in \mathbb{N} ,\ n< 5\}[/itex]

Can you list some members of A and b? What natural numbers are greater than or equal to 4? What natural numbers are less than 5?
 


The problem is solved already. Look at the last post. I guess the problem right now is that you are attempting to imagine or list down the members...

Lesson Learnt:
Step 1 : imagine the set constraints/description
Step 2 : List the ocntents of the set and imagine a pattern
 

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