Let R and S be two relations both on A. Show that (a) If R and S are both reflexive, is RnS also reflexive? (b) If R and S are both symmetric, is RnS also symmetric? (c) If R and S are both...

Let R and S be two relations both on A. Show that
(a) If R and S are both re exive, is R \ S also re exive?
(b) If R and S are both symmetric, is R \ S also symmetric?
(c) If R and S are both transitive, is R \ S also transitive?
Note: Of course, yes or no answers are not acceptable. Show your work brie y.

Extracted text: Let R and S be two relations both on A. Show that (a) If R and S are both reflexive, is RnS also reflexive? (b) If R and S are both symmetric, is RnS also symmetric? (c) If R and S are both transitive, is RnS also transitive? Note: Of course, yes or no answers are not acceptable. Show your work briefly.