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Verify that the following system is not a model for Axioms I1 through I5. State which axiom(s) is/are not satisfied. Our set of points S = {1,2,3,4,5}. Our lines are {1,2, 3}, (1,4}). (1,5}. (2, 4}, {2,5}. {3,4). (3,5). (4,5}. Our planes are (1,2,3,4}, (1,2,3,5), (2,3,4,5}, (1,4,5).

Verify that the following system is not a model for Axioms I1 through I5. State which axiom(s) is/are not satisfied. Our set of points S = {1,2,3,4,5}. Our lines are {1,2, 3}, (1,4}). (1,5}. (2, 4}, {2,5}. {3,4). (3,5). (4,5}. Our planes are (1,2,3,4}, (1,2,3,5), (2,3,4,5}, (1,4,5).

Elementary Geometry For College Students, 7e
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.CT: Test
Problem 1CT
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5. Verify that the following system is not a model for Axioms I1 through I5. State which axiom(s) is/are not satisfied. Our set of points S = {1,2, 3, 4, 5}. Our lines are {1,2, 3}, {1,4}, (1,5}, (2, 4}, {2,5}, {3,4}, (3,5}, {4,5}. Our planes are (1,2,3,4}, (1,2,3,5}, (2,3,4,5}, (1,4,5}).
Transcribed Image Text:5. Verify that the following system is not a model for Axioms I1 through I5. State which axiom(s) is/are not satisfied. Our set of points S = {1,2, 3, 4, 5}. Our lines are {1,2, 3}, {1,4}, (1,5}, (2, 4}, {2,5}, {3,4}, (3,5}, {4,5}. Our planes are (1,2,3,4}, (1,2,3,5}, (2,3,4,5}, (1,4,5}).
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