This problem is from Discrete Mathematics and its Applications
My question is on 9b. I know that the sign represents an element is a member of.
(from book)
I know that the O with a slash across it is the empty set which "is a special set that has no elements". From http://mathcentral.uregina.ca/QQ/database/QQ.09.06/narayana1.html, I got that the empty set is a subset of all sets, meaning that every member of the empty set(nothing) is also a member of any other set.
Based on all of this, for 9b, would {0} contain the empty set because it fundamentally has the elements that consist of the empty set(nothing) or does it physically have to have the empty set?