- #1
Cabinbreaker
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For the set G where G = {{b},{c},d,{∅}}, I believe these are correct:
1) {{c}} [itex]\subseteq[/itex] G
2) {b} [itex]\subseteq[/itex] G
3) {d} [itex]\subseteq[/itex] G
4) d [itex]\subseteq[/itex] G
5) ∅ [itex]\subseteq[/itex] G
6) c [itex]\notin[/itex] [itex]\varphi[/itex](G)
7) {c} [itex]\in[/itex] [itex]\varphi[/itex](G)
8) {b} [itex]\subseteq[/itex] [itex]\varphi[/itex](G)
9) {{d}} [itex]\notin[/itex] [itex]\varphi[/itex](G)
10) ∅ [itex]\in[/itex] [itex]\varphi[/itex](G)
11) {∅} [itex]\in[/itex] [itex]\varphi[/itex](G)
12) ∅ [itex]\subseteq[/itex] [itex]\varphi[/itex](G)
13) {∅} [itex]\subseteq[/itex] [itex]\varphi[/itex](G)
14) {{∅}} [itex]\subseteq[/itex] [itex]\varphi[/itex](G)
If any are incorrect an explanation would be appreciated.
1) {{c}} [itex]\subseteq[/itex] G
2) {b} [itex]\subseteq[/itex] G
3) {d} [itex]\subseteq[/itex] G
4) d [itex]\subseteq[/itex] G
5) ∅ [itex]\subseteq[/itex] G
6) c [itex]\notin[/itex] [itex]\varphi[/itex](G)
7) {c} [itex]\in[/itex] [itex]\varphi[/itex](G)
8) {b} [itex]\subseteq[/itex] [itex]\varphi[/itex](G)
9) {{d}} [itex]\notin[/itex] [itex]\varphi[/itex](G)
10) ∅ [itex]\in[/itex] [itex]\varphi[/itex](G)
11) {∅} [itex]\in[/itex] [itex]\varphi[/itex](G)
12) ∅ [itex]\subseteq[/itex] [itex]\varphi[/itex](G)
13) {∅} [itex]\subseteq[/itex] [itex]\varphi[/itex](G)
14) {{∅}} [itex]\subseteq[/itex] [itex]\varphi[/itex](G)
If any are incorrect an explanation would be appreciated.
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