Let A={g.b.c.d.e} and S, T, U and V relations on A where S = {(aa), (ab), (bc), (kd), (ce), (ed), (aa)} T= {(g,b), (ka), (ks), (kd), lee), (de), (ab)} U= {(a,b), (a,a), (b.c), (k.b), (ee), (ka), (ab), (ac), (dd), (ac), (cl} V= {(gb), (k), (kb), lee), ka), (sb), (dd), los), leal} a) Which of the relations are reflexive? Justify your answer. b) Which of the relations are antisymmetric? Justify your answer. c) Find Un V. d) Find T-S.

Database System Concepts
7th Edition
ISBN:9780078022159
Author:Abraham Silberschatz Professor, Henry F. Korth, S. Sudarshan
Publisher:Abraham Silberschatz Professor, Henry F. Korth, S. Sudarshan
Chapter1: Introduction
Section: Chapter Questions
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Let A={a.b.c.de) and S, T, U and V relations on A where
S= {(a.a), (ab), (bea), (bd), (Ge), (ed), (aa)}
T= {(ab), (ka), (ks), (kd), lee), (de), (ab)}
U= {(a,b), (aa), (bc), (bub), (ee), (ba), (ab), (ac), (d.d), lac), (ea}
V= {(ab), (kc), (kb), lee), (ka), (ab), (dd), las), (a)}
a) Which of the relations are reflexive? Justify your answer.
b) Which of the relations are antisymmetric? Justify your answer.
c) Find Un V.
d) Find T-S.
Transcribed Image Text:Let A={a.b.c.de) and S, T, U and V relations on A where S= {(a.a), (ab), (bea), (bd), (Ge), (ed), (aa)} T= {(ab), (ka), (ks), (kd), lee), (de), (ab)} U= {(a,b), (aa), (bc), (bub), (ee), (ba), (ab), (ac), (d.d), lac), (ea} V= {(ab), (kc), (kb), lee), (ka), (ab), (dd), las), (a)} a) Which of the relations are reflexive? Justify your answer. b) Which of the relations are antisymmetric? Justify your answer. c) Find Un V. d) Find T-S.
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