Solution

1. \(c = \{(1, 3),(2,), (4,)\}\), \(g_!(c)\) is then ?\(\{(12,3),(4,)\}\)

2. \(d = \{(12,),(3,),(4,)\}\)

3. \(e = \{(12,3,4)\}\)

4. ?\(g^*(d)=\{(1,2),(3,),(4,)\}, g^*(e)=\{(1,2,3,4)\}\)

5. ?\(c \leq g^*(d)\) and ?\(g^*(e) > c\)