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?
Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
Problem 1RQ
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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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