Recent content by Cabinbreaker

Thank you for the help! I found this most helpful in clearing up most of my misunderstandings!

The Problem says: My difficulty is I do not understand the question. I was able to complete the first two. I do not know what it means by "The relation ⊆ on a set of sets." I used the power set because I thought where A ⊆ B it was asking for the ordered pair {A,B}.

Then on the relation ⊆ on a set of sets (considering the set {{a},{b},{c}}), relations should be nonrelfexive, nonsymmetric, transitive, and Antisymetric. Relations are not irreflexive or intransitive. I think they are also not asymmetric because of <{{a},{b},{c}} , {{a},{b},{c}}> where...

Yes, φ is the power set. I have changed these to reflect what I believe is accurate but still have trouble with number 5. G = {{b},{c},d,{∅}} 1) {{c}} ⊆ G 2) {b} ⊈ G 3) {d} ⊆ G 4) d ⊈ G 5) ∅ ⊆ G – would the empty set be a subset of G? I know {∅} is an element G, but ∅ is still a set. 6) c \in...

Homework Statement Determine whether the relations on three sets are Reflexive, Irrelfexive, Symmetric,, Asymmetric, Antisymmetric, Transitive, and Intransitive. The relation \subseteq on a set of sets. Homework Equations The Attempt at a Solution I am having trouble figuring out...

For the set G where G = {{b},{c},d,{∅}}, I believe these are correct: 1) {{c}} \subseteq G 2) {b} \subseteq G 3) {d} \subseteq G 4) d \subseteq G 5) ∅ \subseteq G 6) c \notin \varphi(G) 7) {c} \in \varphi(G) 8) {b} \subseteq \varphi(G) 9) {{d}} \notin \varphi(G) 10) ∅ \in \varphi(G)...