Use Venn diagrams (or any other method) to show that (a) EF ⊂ E, E ⊂ E ∪ F ; (b) if E ⊂ F then F c ⊂ Ec ; (c) the commutative laws are valid;

Elementary Geometry For College Students, 7e
7th Edition
ISBN:9781337614085
Author:Alexander, Daniel C.; Koeberlein, Geralyn M.
Publisher:Alexander, Daniel C.; Koeberlein, Geralyn M.
ChapterP: Preliminary Concepts
SectionP.1: Sets And Geometry
Problem 12E: For the sets given in Exercise 9, is there a distributive relationship for intersection with respect...
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Use Venn diagrams (or any other method) to show that (a) EF ⊂ E, E ⊂ E ∪ F ; (b) if E ⊂ F then F c ⊂ Ec ; (c) the commutative laws are valid; (d) the associative laws are valid; (e) F = FE ∪ FEc ; (f ) E ∪ F = E ∪ Ec F ; (g) DeMorgan’s laws are valid.
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