1) Determine a condition on |x-1| that will assure that |x^2−1|<1/2    2) Determine a condition on |x-4| that will assure that |squareroot(x) - 2 | < 1/2   Can you pleae help me solve that with comment in each step as well as theoream and defintion and how to approoach it because i am a bit lost. Thank you!!!

Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter2: Equations And Inequalities
Section2.6: Inequalities
Problem 80E
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1) Determine a condition on |x-1| that will assure that |x^2−1|<1/2 

 

2) Determine a condition on |x-4| that will assure that |squareroot(x) - 2 | < 1/2

 

Can you pleae help me solve that with comment in each step as well as theoream and defintion and how to approoach it because i am a bit lost. Thank you!!!

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