Please mark all true statements (there might be more than one statement that is true)

Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
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Please mark all true statements (there might be more than one statement that is true).
Let A CR be finite then A is an open subset of R.
○ The set A = {x² + 2x + 1: x € R} is an open subset of R.
Let A CR be infinite then A is an open subset of R.
t D ( x₁₁² ) = {x € R:
Intersection of open sets open.
Let D(x
x € R: x-x|<ɛ}. A subset AC R is open if for all x EA there is & > 0, such that tD (x₂ε) ≤A.
0
Transcribed Image Text:Please mark all true statements (there might be more than one statement that is true). Let A CR be finite then A is an open subset of R. ○ The set A = {x² + 2x + 1: x € R} is an open subset of R. Let A CR be infinite then A is an open subset of R. t D ( x₁₁² ) = {x € R: Intersection of open sets open. Let D(x x € R: x-x|<ɛ}. A subset AC R is open if for all x EA there is & > 0, such that tD (x₂ε) ≤A. 0
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