Let {(x, y) E R² : |x|< 2, |y| < 2, x² + y² > 1}. {(x, y) E R² : 0 < x < y}, {(x, y) E R² : 0 < y <¤ < 1}, U {(7, y) E R² : æ² + y? <1 - }. A B D Which of the following statements are correct? Select one or more: O a. A is closed. O b. A is bounded. O c. A is compact. d. B is closed. O e. B is bounded. O f. Bis compact. g. C is closed. O h. C is bounded. O i. C is compact. j. D is closed. O k. Dis bounded. OI. D is compact.

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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Let
{(x, y) E R² : |x|< 2, |y| < 2, x² + y² > 1}.
{(x, y) E R² : 0 < x < y},
{(x, y) E R² : 0 < y <¤ < 1},
U {(7, y) E R² : æ² + y? <1 - }.
A
B
D
Which of the following statements are correct?
Select one or more:
O a. A is closed.
O b. A is bounded.
O c. A is compact.
d. B is closed.
O e.
B is bounded.
O f. Bis compact.
g. C is closed.
O h. C is bounded.
O i.
C is compact.
j.
D is closed.
O k. Dis bounded.
OI.
D is compact.
Transcribed Image Text:Let {(x, y) E R² : |x|< 2, |y| < 2, x² + y² > 1}. {(x, y) E R² : 0 < x < y}, {(x, y) E R² : 0 < y <¤ < 1}, U {(7, y) E R² : æ² + y? <1 - }. A B D Which of the following statements are correct? Select one or more: O a. A is closed. O b. A is bounded. O c. A is compact. d. B is closed. O e. B is bounded. O f. Bis compact. g. C is closed. O h. C is bounded. O i. C is compact. j. D is closed. O k. Dis bounded. OI. D is compact.
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