Solve Set Logic Homework: A∩B

AI Thread Summary
The discussion focuses on solving the intersection of two sets, A and B, defined in the context of natural numbers. Set A includes natural numbers greater than or equal to 4, while set B consists of natural numbers less than 5. The intersection A ∩ B is determined by identifying common elements from both sets, which leads to the conclusion that the only member is 4. Participants emphasize the importance of clearly defining set constraints and listing members to visualize the solution. The conversation highlights the necessity of careful problem formulation and understanding set logic.
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
A= \{x\ :\ x\in \mathbb{N}\ &amp;\ x\geq4 \}
B=\{x\ :\ x\in \mathbb{N}\ &amp;\ x&lt;5 \}

and you want to find A\cap B

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
A= \{n |n\in \mathbb{N} , \ n\ge 4\}
and
B= \{n| n\in \mathbb{N} ,\ n&lt; 5\}

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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