how do you read this ? S = {x ∈ N : −x ∈ N}

[timber brook]

is this read as x belongs to natural number such that the negation of x that belongs to natural numbers?
so it would flip all natural numbers (1,2,3,4...) to negative ?

or do i read it as ... x belongs to natural number such that any value of x which are negative in the set of natural number( which there is none)

im guessing the first one is the right way to read it?

thank you

[valid flower]

any x in N such that its negative is in N?

this feels like the empty set or {0} depending on how you define N

what you said would be without the in N in the first half of the notation

someone else please correct me if wrong though

[timber brook]

this from part of the question, but i'm just confused how to evaluate it. I guessing its read like {x ∈ N : − (x ∈ N)}. like get all x of NAtural numbers, then minus it. That will be the range of x. so like {1 belong to N such taht -(1 belong to N)} lol idk

oh wait nvm, -2 does not exist.. the solution says it is null set

so...i should read it like.. x belongs to Natural number such that negation of (natural number) that belongs to N.

which is empty ?

[timber brook]

mmm

[timber brook]

thanks LOL