Question 1: Let A = [(0,6) U (7, 12) n(2,9): B= A\ ({1,2, 4} U (3, 5)) and C =BU{11,8}. Give an explicit and fully simplified expression for each of the following. (a) A, B, and C. (b) А, В, аndс. (c) A' and C", where X' denotes the set of isolated points of a set X C M.
Question 1: Let A = [(0,6) U (7, 12) n(2,9): B= A\ ({1,2, 4} U (3, 5)) and C =BU{11,8}. Give an explicit and fully simplified expression for each of the following. (a) A, B, and C. (b) А, В, аndс. (c) A' and C", where X' denotes the set of isolated points of a set X C M.
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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![Question 1:
Let
A = [(0,6) U (7, 12)]n (2,9]; B= A\ ({1,2, 4} U (3, 5)) and C = BU{11,8}.
Give an explicit and fully simplified expression for each of the following.
(a) A, B, and C.
(b) Aº, B, and C'.
(c) A' and C", where X' denotes the set of isolated points of a set X C M.
Question 2:
Let P = (3,4), o = (0,0), Po = (5, 0) be points in R? equipped with the
Euclidean metric. Let R be the ring given by R = {v € R²: 4 < d(O,v) < 7}.
Which of the following are neighborhoods of P?
R, BỊ = B(0,4), B2 = B(0,6), B3 = R\ B2, B4 = B(0,1) U B2, B, = B(Po, VII).
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Transcribed Image Text:Question 1:
Let
A = [(0,6) U (7, 12)]n (2,9]; B= A\ ({1,2, 4} U (3, 5)) and C = BU{11,8}.
Give an explicit and fully simplified expression for each of the following.
(a) A, B, and C.
(b) Aº, B, and C'.
(c) A' and C", where X' denotes the set of isolated points of a set X C M.
Question 2:
Let P = (3,4), o = (0,0), Po = (5, 0) be points in R? equipped with the
Euclidean metric. Let R be the ring given by R = {v € R²: 4 < d(O,v) < 7}.
Which of the following are neighborhoods of P?
R, BỊ = B(0,4), B2 = B(0,6), B3 = R\ B2, B4 = B(0,1) U B2, B, = B(Po, VII).
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