(8)Explain why: (a) Every rational number is an algebraic number (b) Z is not an open set (c) The set :ne N} is not compact

Advanced Engineering Mathematics
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ISBN:9780470458365
Author:Erwin Kreyszig
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Chapter2: Second-order Linear Odes
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(8)Explain why:
(a) Every rational number is an algebraic number
(b) Z is not an open set
(c) The set ne N} is not compact
(d) The set {n :ne N} is unbounded
(e) Every finite set is closed
(f) Q is neither open nor closed
Transcribed Image Text:(8)Explain why: (a) Every rational number is an algebraic number (b) Z is not an open set (c) The set ne N} is not compact (d) The set {n :ne N} is unbounded (e) Every finite set is closed (f) Q is neither open nor closed
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