ANSWER THE FF. IF THEY ARE ALWAYS TRUE, SOMETIMES TRUE OR NEVER TRUE 1. If x is in S, then x may be a boundary point and an interior point of S. 2. If a set S has both a minimum and a maximum, then S is closed. 3. S is closed iff S = bd S

Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter10: Sequences, Series, And Probability
Section10.7: Distinguishable Permutations And Combinations
Problem 29E
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ANSWER THE FF. IF THEY ARE ALWAYS TRUE, SOMETIMES TRUE
OR NEVER TRUE
1.
If x is in S, then x may be a boundary point and an interior point of S.
2.
If a set S has both a minimum and a maximum, then S is closed.
3.
S is closed iff S = bd S
4.
For n E N, {XER | |x-x*|<1/n } is open.
UA_n is open where A_n=(n-1,n).
5.
Transcribed Image Text:ANSWER THE FF. IF THEY ARE ALWAYS TRUE, SOMETIMES TRUE OR NEVER TRUE 1. If x is in S, then x may be a boundary point and an interior point of S. 2. If a set S has both a minimum and a maximum, then S is closed. 3. S is closed iff S = bd S 4. For n E N, {XER | |x-x*|<1/n } is open. UA_n is open where A_n=(n-1,n). 5.
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ANSWER THE FF. IF THEY ARE ALWAYS TRUE, SOMETIMES TRUE
OR NEVER TRUE
1.
If x is in S, then x may be a boundary point and an interior point of S.
2.
If a set S has both a minimum and a maximum, then S is closed.
3.
S is closed iff S = bd S
4.
For n E N, {XER | |x-x*|<1/n } is open.
UA_n is open where A_n=(n-1,n).
5.
Transcribed Image Text:ANSWER THE FF. IF THEY ARE ALWAYS TRUE, SOMETIMES TRUE OR NEVER TRUE 1. If x is in S, then x may be a boundary point and an interior point of S. 2. If a set S has both a minimum and a maximum, then S is closed. 3. S is closed iff S = bd S 4. For n E N, {XER | |x-x*|<1/n } is open. UA_n is open where A_n=(n-1,n). 5.
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