Consider the subset W = {x € Q : xª > 1} of Q. 2.1 Express W using interval notation. 2.2 Is W bounded below in Q? Give an example of a lower bound in Q of W if it exists OR answer "No" if it does not exist. 2.3 Is W bounded above in Q? Give an example of an upper bound in Q of W if it exists OR answer "No" if it does not exist.

Calculus: Early Transcendentals
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Author:James Stewart
Publisher:James Stewart
Chapter1: Functions And Models
Section: Chapter Questions
Problem 1RCC: (a) What is a function? What are its domain and range? (b) What is the graph of a function? (c) How...
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Consider the subset W = {x € Q : x4 > 1} of Q.
2.1 Express W using interval notation.
2.2 Is W bounded below in Q? Give an example of a lower bound in Q of W if
it exists OR answer "No" if it does not exist.
2.3 Is W bounded above in Q? Give an example of an upper bound in Q of W
if it exists OR answer "No" if it does not exist.
Transcribed Image Text:Consider the subset W = {x € Q : x4 > 1} of Q. 2.1 Express W using interval notation. 2.2 Is W bounded below in Q? Give an example of a lower bound in Q of W if it exists OR answer "No" if it does not exist. 2.3 Is W bounded above in Q? Give an example of an upper bound in Q of W if it exists OR answer "No" if it does not exist.
Expert Solution
Step 1: Given and basic informatioin

W = x: x4>1 This implies that W is a set of rational numbers 'x', such that x4>1. if x4   >1Then ,  x >1. Hence, W  = x: x-,-1 1, 

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