Please consider the following sets: W = {3, 1, 6, 4, 0} X = {3, 1, 6, 0} Y = {5, 0, 6} Z = {a} a) What would be the size of each set? b) Define a function g from W to Z that is one-to-one if it exists, otherwise explain why it does not exist. c) Define a function h from W to Z that is onto if it exists, otherwise explain why it does not exist. d) Consider the set X X Y, how many elements are in that set?
Please consider the following sets: W = {3, 1, 6, 4, 0} X = {3, 1, 6, 0} Y = {5, 0, 6} Z = {a} a) What would be the size of each set? b) Define a function g from W to Z that is one-to-one if it exists, otherwise explain why it does not exist. c) Define a function h from W to Z that is onto if it exists, otherwise explain why it does not exist. d) Consider the set X X Y, how many elements are in that set?
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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![Please consider the following sets:
W = {3, 1, 6, 4, 0}
X = {3, 1, 6, 0}
Y = {5, 0, 6}
Z = {a}
a) What would be the size of each set?
b) Define a function g from W to Z that is one-to-one if it exists, otherwise explain
why it does not exist.
c) Define a function h from W to Z that is onto if it exists, otherwise explain why it
does not exist.
d) Consider the set X x Y, how many elements are in that set?](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F434916cd-dadc-412a-ad75-437b4113a9e1%2F56b0b7b5-3f1d-4eaa-9693-960835c3452e%2F4bj7e2t_processed.png&w=3840&q=75)
Transcribed Image Text:Please consider the following sets:
W = {3, 1, 6, 4, 0}
X = {3, 1, 6, 0}
Y = {5, 0, 6}
Z = {a}
a) What would be the size of each set?
b) Define a function g from W to Z that is one-to-one if it exists, otherwise explain
why it does not exist.
c) Define a function h from W to Z that is onto if it exists, otherwise explain why it
does not exist.
d) Consider the set X x Y, how many elements are in that set?
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