Example of a relation that is symmetric and transitive but not reflexive
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hello..
♪＼(*＾▽＾*)／＼(*＾▽＾*)／
consider this example...
{ ( a , a ) , ( b , b ) , ( c , c ) , ( a , b ) , ( b , a ) , ( c , a ) , ( a , c ) }
it is reflexive and symmetric but not transitive.
Now this...
X={0,1,2}X={0,1,2} and let the relation be {(0,0) ,(1,1), (0,1), (1,0)} {(0,0) ,(1,1), (0,1) ,(1,0)}
This is not reflexive because (2,2) (2,2) isn't in the relation.
hope understood...
thank you ☺
♪＼(*＾▽＾*)／＼(*＾▽＾*)／
consider this example...
{ ( a , a ) , ( b , b ) , ( c , c ) , ( a , b ) , ( b , a ) , ( c , a ) , ( a , c ) }
it is reflexive and symmetric but not transitive.
Now this...
X={0,1,2}X={0,1,2} and let the relation be {(0,0) ,(1,1), (0,1), (1,0)} {(0,0) ,(1,1), (0,1) ,(1,0)}
This is not reflexive because (2,2) (2,2) isn't in the relation.
hope understood...
thank you ☺
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