1. Do the following task. a. .) State formally what do mean by being an open set of E in metric space (X, d). b. ) Show that Q is not open in (R. d) where d(x, y) = x - y.

Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter8: Applications Of Trigonometry
Section: Chapter Questions
Problem 17RE
icon
Related questions
Question
Number 1 HELP ME ASAP
1. Do the following task.
a.
) State formally what do mean by being an open set of E in
metric space (X, d).
b.
) Show that is not open in (R. d) where d(x, y) = x - y).
Transcribed Image Text:1. Do the following task. a. ) State formally what do mean by being an open set of E in metric space (X, d). b. ) Show that is not open in (R. d) where d(x, y) = x - y).
Expert Solution
steps

Step by step

Solved in 2 steps with 2 images

Blurred answer
Similar questions
Recommended textbooks for you
Algebra & Trigonometry with Analytic Geometry
Algebra & Trigonometry with Analytic Geometry
Algebra
ISBN:
9781133382119
Author:
Swokowski
Publisher:
Cengage
Elementary Geometry For College Students, 7e
Elementary Geometry For College Students, 7e
Geometry
ISBN:
9781337614085
Author:
Alexander, Daniel C.; Koeberlein, Geralyn M.
Publisher:
Cengage,
Elements Of Modern Algebra
Elements Of Modern Algebra
Algebra
ISBN:
9781285463230
Author:
Gilbert, Linda, Jimmie
Publisher:
Cengage Learning,