Let E, and E, are subsets of a space X show that whether each one of the following statements true or fals and why? 1) (E, U E2)° = E,° U E,° ESE 2) (E, N E2)° = E,° n E2° %3D

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Chapter2: Second-order Linear Odes
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Example [2.1.21]|
Let Ej and E, are subsets of a space X show that whether each one of the
following statements true or fals and why?
1) (E, U E2)° = E,° U E,°
ESE
2) (E, N E2)° = E,° n E,°
(5,0E)S E,UE
3) (E, U E2)° = E,° U E,°
4) (E, N E2)º = E,° n E2°
5) d(E, U E2) = d(E,)U d(E2)
6) d(E, N E2) = d(E,)nd(E,)
7) (E U E2)' = E,' U E,'
8) (Ε η Ε) = E' n E.
9) (E, U E2) = E, U E,
10) (E, N E2) = E, N E,
%3D
Transcribed Image Text:Example [2.1.21]| Let Ej and E, are subsets of a space X show that whether each one of the following statements true or fals and why? 1) (E, U E2)° = E,° U E,° ESE 2) (E, N E2)° = E,° n E,° (5,0E)S E,UE 3) (E, U E2)° = E,° U E,° 4) (E, N E2)º = E,° n E2° 5) d(E, U E2) = d(E,)U d(E2) 6) d(E, N E2) = d(E,)nd(E,) 7) (E U E2)' = E,' U E,' 8) (Ε η Ε) = E' n E. 9) (E, U E2) = E, U E, 10) (E, N E2) = E, N E, %3D
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