State whether the propositions in parts (a) through (j) are TRUE or FALSE considering the following sets: X = (a, 1, (a, a), [a, 1], 0) Y = (a, 3, (a), [1, a]) (a) a EX (b) (a) EX (c) [a, 1] EX (d) [a, 1] EY (e) Ø EX (f) ØEY (g) Ø ≤X (h) {Ø) ≤X (i) ([a, 3]) EXXY () (a, 1) x Y = (1, a) x Y

State whether the propositions in parts (a) through (j) are TRUE or FALSE considering the following sets: X = (a, 1, (a, a), [a, 1], 0) Y = (a, 3, (a), [1, a]) (a) a EX (b) (a) EX (c) [a, 1] EX (d) [a, 1] EY (e) Ø EX (f) ØEY (g) Ø ≤X (h) {Ø) ≤X (i) ([a, 3]) EXXY () (a, 1) x Y = (1, a) x Y

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

Problem 1PE

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Concept explainers

Predicates

A predicate is a function defined with set of variables, which returns the result True or False. The output of a predicate is a Boolean value as a response when given a set of parameters:

Question

State whether the propositions in parts (a) through (j) are TRUE or FALSE considering the following sets:
X = (a, 1, (a, a), [a, 1], 0) Y = (a, 3, (a), [1, a]}
(a) a EX
(b) (a) EX
(c) [a, 1] EX
(d) [a, 1] € Y
(e) Ø EX
(f) Ø EY
(g) Ø≤X
(h) {0} ≤X
(i) ([a, 3]) EXXY
() (a, 1) x Y= (1, a) x Y

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