True/False (to show your answers, write "true" or "false" next to each of "(a)", "(b)" etc.): (a) For any two sets A and B, AUB = BUA (b) For any two sets A and B, AnB = An B (c) The power set of a finite set must be finite (d) If A and B are finite sets, then the size of the Cartesian product (A x B) is |A| + |B| (e) For any two sets A and B, A\B = B\A

True/False (to show your answers, write "true" or "false" next to each of "(a)", "(b)" etc.): (a) For any two sets A and B, AUB = BUA (b) For any two sets A and B, AnB = An B (c) The power set of a finite set must be finite (d) If A and B are finite sets, then the size of the Cartesian product (A x B) is |A| + |B| (e) For any two sets A and B, A\B = B\A

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

Polynomial Time

The problems for which the deterministic polynomial-time algorithm exists belong to the complexity class (p) and it is central in the field of computational complexity theory. According to Cobham’s thesis, polynomial time is a synonym for “feasible”, “fast”, and “efficient”.

Question

True/False (to show your answers, write "true" or "false" next
to each of "(a)", "(b)" etc.):
(a) For any two sets A and B, AUB = BUA
(b) For any two sets A and B, AnB = An B
(c) The power set of a finite set must be finite
(d) If A and B are finite sets, then the size of the Cartesian product
(A x B) is |A| + |B|
(e) For any two sets A and B, A\B = B\A
-----
➖➖➖➖➖

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f the domain consists of all integer numbers, then the truth value of ∃x(x2 = -1) is:
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