Let the universal set be R, the set of all real numbers, and let A = {x ER] -3 < x < 0}, B = {x e R -1 < x < 2}, and C = {x E R | 7 < x < 9}. Find each of the following:

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 the universal set be R, the set of all real numbers, and let A = {x eR ] -3 < x< 0}, B = {x E R -1 < x < 2}, and
C = {x E R | 7 < x < 9}. Find each of the following:
Transcribed Image Text:Let the universal set be R, the set of all real numbers, and let A = {x eR ] -3 < x< 0}, B = {x E R -1 < x < 2}, and C = {x E R | 7 < x < 9}. Find each of the following:
(d) AUC
xs아
o fre R|-3<x<0 or 7 <x <o}
ofre R/-35x50 or 7 <x<9}
o {xeR-3sxs0 and 7 < xs 9
OxE R-3 s x < 0 or 7 <
-3 < x < 0 or 7 <.
-3 s x < 0 and 7 < x < 9
(е) АПС
o fre R|
o fre R|-3<x<0or7<x%
o fre R|
o fre R|-35x50 and 7 < x So}
-3 < x < 0 or 7 < >
-3 < x < 0 or 7 < x
-3 s x < 0 and 7 <
O Ø
(f) BC
o fre Rl« < -1 or > 2}
o {xe Rxs -2 or x 2 1}
o {xE Rxs -1 or x 2 2}
o {xER|-15 x5 2}
o fxeR-1 <x < 2}
Transcribed Image Text:(d) AUC xs아 o fre R|-3<x<0 or 7 <x <o} ofre R/-35x50 or 7 <x<9} o {xeR-3sxs0 and 7 < xs 9 OxE R-3 s x < 0 or 7 < -3 < x < 0 or 7 <. -3 s x < 0 and 7 < x < 9 (е) АПС o fre R| o fre R|-3<x<0or7<x% o fre R| o fre R|-35x50 and 7 < x So} -3 < x < 0 or 7 < > -3 < x < 0 or 7 < x -3 s x < 0 and 7 < O Ø (f) BC o fre Rl« < -1 or > 2} o {xe Rxs -2 or x 2 1} o {xE Rxs -1 or x 2 2} o {xER|-15 x5 2} o fxeR-1 <x < 2}
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