Determine if the following statements are true or false. If a statement is false, provide a counterex-ample, and it a statement is true, prove it.a) The intersection of two intervals is an interval.b) The union of two intervals is an interval.c) The complement of an interval can sometimes be an interval.

Answered: Image /qna-images/answer/ff4cc5df-aeca-4c5b-b5f2-2753cf511bec.jpg

Answered: a) The interscction of two intervals is…

Elementary Geometry For College Students, 7e

7th Edition

ISBN:9781337614085

Author:Alexander, Daniel C.; Koeberlein, Geralyn M.

Publisher:Alexander, Daniel C.; Koeberlein, Geralyn M.

ChapterA: Appendix

SectionA.3: Inequalities

Problem 9E

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a) The interscction of two intervals is an interval. b) The union of two intervals is an interval. c) The complement of an interval can sometimes be an interval.