ANSWER THE FF. IF THEY ARE ALWAYS TRUE, SOMETIMES TRUE OR NEVER TRUE 1. All open sets are bounded. 2. R, S and T are closed sets implies RnSnT is closed. 3. If S has a maximum and a minimum then S is compact. 4. If x is in a finite set S then x is an accumulation point and so S must be closed. 5. Every set S has an open cover.
ANSWER THE FF. IF THEY ARE ALWAYS TRUE, SOMETIMES TRUE OR NEVER TRUE 1. All open sets are bounded. 2. R, S and T are closed sets implies RnSnT is closed. 3. If S has a maximum and a minimum then S is compact. 4. If x is in a finite set S then x is an accumulation point and so S must be closed. 5. Every set S has an open cover.
Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
Problem 1RQ
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Transcribed Image Text:ANSWER THE FF. IF THEY ARE ALWAYS TRUE, SOMETIMES TRUE
OR NEVER TRUE
1.
All open sets are bounded.
2.
R, S and T are closed sets implies RnSnT is closed.
3.
If S has a maximum and a minimum then S is compact.
4.
If x is in a finite set S then x is an accumulation point and so S must be closed.
5.
Every set S has an open cover.
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