For this problem, let f: RR be a function. We say that a non-empty set UCR is ajar if Vu €U, 3r >0 such that (u-r,u+r) CU. (a) Show that (0, 2) is ajar. (b) Find a set that is not ajar. You don't need to prove it. My set is

Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter3: Functions And Graphs
Section3.4: Definition Of Function
Problem 54E
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Please anwer part b of this question, thank you

For this problem, let f: R→R be a function. We say that a non-empty set UCR is ajar if
VU, 3r >0 such that (u-r,u+r) CU.
(a) Show that (0, 2) is ajar.
(b) Find a set that is not ajar. You don't need to prove it.
My set is
Transcribed Image Text:For this problem, let f: R→R be a function. We say that a non-empty set UCR is ajar if VU, 3r >0 such that (u-r,u+r) CU. (a) Show that (0, 2) is ajar. (b) Find a set that is not ajar. You don't need to prove it. My set is
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