Which of the following sets have a supremum in R? {ZEQ:0≤z ≤ √2} {z²-1: ze Z} {z² - 3z²+z 3 : ZEN} {ZER:0 ≤z≤ √2} Drag answer here Drag answer here Drag answer here Drag answer here Does not have supremum Has supremum

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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Question
Which of the following sets have a supremum in R?
{ZEQ: 0≤z <√√√2}
{z² – 1: z € Z}
-
(2² – 32² +2:
{z²
3
: ZEN}
{ZER: 0≤z≤ √√2}
Drag answer here
Drag answer here
Drag answer here
Drag answer here
Does not have
supremum
Has supremum
Transcribed Image Text:Which of the following sets have a supremum in R? {ZEQ: 0≤z <√√√2} {z² – 1: z € Z} - (2² – 32² +2: {z² 3 : ZEN} {ZER: 0≤z≤ √√2} Drag answer here Drag answer here Drag answer here Drag answer here Does not have supremum Has supremum
Expert Solution
Step 1: Question Description

Which of the following sets have a supremum in straight real numbers?

1. open curly brackets z element of straight rational numbers space colon space 0 less or equal than z less or equal than square root of 2 close curly brackets

2. open curly brackets z squared minus 1 space colon space z element of straight integer numbers close curly brackets

3. open curly brackets z squared minus fraction numerator 3 z squared plus z over denominator 3 end fraction space colon space z element of straight natural numbers close curly brackets

4. open curly brackets z element of straight real numbers space colon space 0 less or equal than z less or equal than square root of 2 close curly brackets

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