Give an example of a relation that is:
a) relfexive and symmetric but not transitive
b) symmetric and transitive but not reflexive
c)reflexive and transitive but not symmetric
Give an example of a relation that is:
a) relfexive and symmetric but not transitive
Reflexive: A has showered with A.
Symmetric: A has showered with B implies B has showered with A.
Transitive: A has showered with B and B has showered with C does NOT imply that A has showered with C.
Last edited by abender; November 13th 2012 at 09:43 AM.
Give an example of a relation that is:
b) symmetric and transitive but not reflexive
Reflexive: A is NOT a full sibling to A.
Symmetric: A is a full sibling to B implies B is a full sibling to A.
Transitive: A is a full sibling to B and B is a full sibling to C implies that A is a full sibling to C.