Question: Consider two relations R, S on a set X. Let the relation 1 be defined as T ={(z,2) | y.(z,y) RA(y,2) S} Either prove or

Consider two relations R, S on a set X. Let the relation 1" be defined as T ={(z,2) | y.(z,y) RA(y,2) S} Either prove or disprove the following statements: (a) If T is reflexive then so are R and S. (b) If R and S are reflexive then so is 7. () If R and S are symmetric then so is 7

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