Homework: Determined whether the following sets are open or closed in (IR", ||. |I): 1) [a , b1] × .…× [an , bn] ; where a; ,b; E R; Vi = 1,...,n. 2) S = {(x1,.. , Xn) : x > 0} ; USt , St. %3D 3) Any finite set in (R, | |). 4) The set QC in (R,| · |).

Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter3: Functions And Graphs
Section3.2: Graphs Of Equations
Problem 68E
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Homework: Determined whether the following sets are open or closed in (R", ||. |D:
1) [a, , b1] ×.× [an , bn] ; where a ,b E R; Vi= 1,...,n.
x [an , bn] ; where a; ,b; E R; vi = 1,...,n.
2) Si = {(x1, .., Xn)
: xi > 0} ; U-St NSt .
3) Any finite set in (IR,| |).
4)
The set Q in (R,| · |).
Transcribed Image Text:Homework: Determined whether the following sets are open or closed in (R", ||. |D: 1) [a, , b1] ×.× [an , bn] ; where a ,b E R; Vi= 1,...,n. x [an , bn] ; where a; ,b; E R; vi = 1,...,n. 2) Si = {(x1, .., Xn) : xi > 0} ; U-St NSt . 3) Any finite set in (IR,| |). 4) The set Q in (R,| · |).
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