2. Assume u = Z, and let A B = {..., -6, -4, -2,0,2, 4, 6,...} {-9, -6, -3,0, 3, 6, 9,...} {..., 12,-8, -4, 0, 4, 8, 12,...} с = Describe the following sets by listing their elements explicitly. (a) An B (c) A - B (e) B-A (g) (AUB) NC (b) C - A (d) AnB (f) BUC (h) (AUB) - C = 2Z, 3Z, 4Z. = =
2. Assume u = Z, and let A B = {..., -6, -4, -2,0,2, 4, 6,...} {-9, -6, -3,0, 3, 6, 9,...} {..., 12,-8, -4, 0, 4, 8, 12,...} с = Describe the following sets by listing their elements explicitly. (a) An B (c) A - B (e) B-A (g) (AUB) NC (b) C - A (d) AnB (f) BUC (h) (AUB) - C = 2Z, 3Z, 4Z. = =
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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2. AssumeU=Z, and let \[ \begin{array}{l} A=\{\ldots,-6,-4,-2,0,2,4,6, \ldots\}=2 \mathbb{Z}, \\ B=\{\ldots,-9,-6,-3,0,3,6,9, \ldots\}=3 \mathbb{Z}, \\ C=\{\ldots,-12,-8,-4,0,4,8,12, \ldots\}=4 \mathbb{Z} . \end{array} \] Describe the following sets by listing their elements explicitly. (a)A∩B(b)C−A(c)A−B(d)A∩Bˉ(e)B−A(f)B∪C(g)(A∪B)∩C(h)(A∪B)−C
Transcribed Image Text:2. Assume U = Z, and let
A
B =
{..., -6, -4,-2,0,2, 4, 6,...}
{-9, -6, -3,0,3,6,9,...}
{..., 12,-8,-4, 0, 4, 8, 12,...}
с =
Describe the following sets by listing their elements explicitly.
(a) An B
(c) A - B
(e) B-A
(g) (AUB) NC
(b) C - A
(d) AnB
(f) BUC
(h) (AUB) - C
= 2Z,
3Z,
4Z.
=
=
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