Suppose that R and S are reflexive relations on a set A. Prove or disprove this statements:

a. is reflexive

b. is reflexive

c. is irreflexive

for part a and b I answered that it is true and part c is false. is this right?

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- July 10th 2007, 05:53 PMTheRekzRelations and properties
Suppose that R and S are reflexive relations on a set A. Prove or disprove this statements:

a. is reflexive

b. is reflexive

c. is irreflexive

for part a and b I answered that it is true and part c is false. is this right? - July 10th 2007, 08:10 PMle_su14
- July 10th 2007, 08:13 PMTheRekz
why is irreflexive??

- July 10th 2007, 08:22 PMle_su14
- July 11th 2007, 02:53 AMPlato
The set is known as the diagonal relation on set A. Any relation, , on A is reflexive if and only if . Using that characterization, it is easy to see the three statements are true.

- July 12th 2007, 07:28 PMali.irfan.kurt
- July 13th 2007, 03:01 AMPlato