Hey guys,
I know this is the algebra thread, but couldn't see anywhere related to set theory concepts so thought I'd just post here.
I am looking at set theory proofs but have no idea where to even start. I have a question that reads:
For any sets A and B. Show using set theory laws that(i) (A ∩ B) ∩ A = ∅
(ii) (A ∩ B) ∩ B = B ∩ A
also had a quick question regarding wording for a set
(iii) C = {z : z =b/a, a ≥ b, a, b ∈ N}
It appears to suggest: z is equal to a fraction (b/a) where a is equal to or greater than b and a and b are natural numbers but how do I write natural numbers if z is equal to a fraction???
Thnaks in advance for any help and apologies for wrong thread, I had no idea where else to put this!
I know this is the algebra thread, but couldn't see anywhere related to set theory concepts so thought I'd just post here.
I am looking at set theory proofs but have no idea where to even start. I have a question that reads:
For any sets A and B. Show using set theory laws that(i) (A ∩ B) ∩ A = ∅
(ii) (A ∩ B) ∩ B = B ∩ A
also had a quick question regarding wording for a set
(iii) C = {z : z =b/a, a ≥ b, a, b ∈ N}
It appears to suggest: z is equal to a fraction (b/a) where a is equal to or greater than b and a and b are natural numbers but how do I write natural numbers if z is equal to a fraction???
Thnaks in advance for any help and apologies for wrong thread, I had no idea where else to put this!