Which of the following are counter-examples that show f:= {(X, IX): XC Z5} from P(Z5) to Z is not one-to-one? Oa) A = {2}, B = {2} Ob) A = {3}, B = {4} Oo A={1,2}, B = {4,2} Od) A = {0}, B = {6} e) A = {1,2,3}, B = {3, 2, 1}
Which of the following are counter-examples that show f:= {(X, IX): XC Z5} from P(Z5) to Z is not one-to-one? Oa) A = {2}, B = {2} Ob) A = {3}, B = {4} Oo A={1,2}, B = {4,2} Od) A = {0}, B = {6} e) A = {1,2,3}, B = {3, 2, 1}
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:Which of the following are counter-examples that show
f:= {(X, X): XC Z5} from P(Z5) to Z is not one-to-one?
Oa) A = {2}, B = {2}
Ob) A =
{3}, B = {4}
Oc) A =
{1,2}, B = {4,2}
Od) A =
{0}, B = {6}
Oe) A = {1,2,3}, B = {3, 2, 1}
Transcribed Image Text:Consider the claim that for any integer n ≥ 0, if n mod 4 € {2,3} then n
is not a perfect square.
Consider the proof that supposes n = 4c + 1 or n = 4c for some integer C
and wants to show that 7 is a perfect square.
True or False: This is a valid proof approach that would prove the claim.
(This is not asking whether this is an actual proof of the result. It's asking whether
this general, high-level approach would suffice to prove the result.)
True
False
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