Properties : (1) reflexive (2) symmetric (3) anti-symmetric (4) transitive

(5) equivalence relation (6) partially ordered (showing work)

	relation	1	2	3	4	5	6
0	The relation R on the set of all people where aRb means that a is younger than b	no	no	yes	yes	no	no
1	The relation R on the set of all real function f:NR+ where f R g if and only if f(n) = O(g(n))
2	The relation R on the set of all real function f:NR+ where f R g if and only if f(n) = (g(n))