2. Let B,C,D,E be the following sets: B = {x|x a real number, x² <4}, C = {x|x a real number, 0

Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
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Chapter2: Second-order Linear Odes
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2. Let B,C,D,E be the following sets:
B = {x|x a real number, x² <4},
C = {x|x a real number, 0<x<2},
D= {x|x € Z, x² < 1},
E = {1}.
(a) Which pair of these sets has the property that neither is contained
in the other?
(b) You are given that X is one of the sets B, C, D, E, but you do not
know which one. You are also given that ECX and X CB. What
can you deduce about X?
Transcribed Image Text:2. Let B,C,D,E be the following sets: B = {x|x a real number, x² <4}, C = {x|x a real number, 0<x<2}, D= {x|x € Z, x² < 1}, E = {1}. (a) Which pair of these sets has the property that neither is contained in the other? (b) You are given that X is one of the sets B, C, D, E, but you do not know which one. You are also given that ECX and X CB. What can you deduce about X?
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