Fill in each cell in Figure 8.24 with a relation on {0, 1} that satisfies the given criteria.
Or, if the criteria are inconsistent, explain why there is no such a relation.
1 a reflexive, symmetric relation on {0, 1} .
2 a reflexive, antisymmetric relation on {0, 1} .
3 a reflexive, asymmetric relation on {0, 1} .
4 an irreflexive, symmetric relation on {0, 1} .
5 an irreflexive, antisymmetric relation on {0, 1} .
6 an irreflexive, asymmetric relation on {0, 1} .
7 a symmetric relation on {0, 1} that’s neither reflexive nor irreflexive.
8 an antisymmetric relation on {0, 1} that’s neither reflexive nor irreflexive.
9 an asymmetric relation on {0, 1} that’s neither reflexive nor irreflexive.
