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(1) that the reverse triangle inequality holds for all real numbers. (HINT: Write a as a - b+ b. Then apply the triangle inequality.)

(1) that the reverse triangle inequality holds for all real numbers. (HINT: Write a as a - b+ b. Then apply the triangle inequality.)

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.
ChapterA: Appendix
SectionA.3: Inequalities
Problem 10E: Of several angles, the degree measures are related in this way: mJKLmGHI the measure of the angle...
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Show (1) that the reverse triangle inequality Ilal-l이 < la-비 holds for all real numbers. (HINT: Write a as a – b+ b. Then apply the triangle inequality.) (2) the mapping diagram picture of the reverse triangle inequality for the case where a >0 and b<0. (HINT: See video 0 Prelim Part 0, 8: 08 → 13 : 45, for mapping diagrams. Do it for a specific numbers for a and b and then overwrite the specific numbers in the mapping diagram by a and b.) (3) What does the mapping diagram show about the absolute value operation? (HINT: Interpret |r - y| as the distance between r and y.)
Transcribed Image Text:Show (1) that the reverse triangle inequality Ilal-l이 < la-비 holds for all real numbers. (HINT: Write a as a – b+ b. Then apply the triangle inequality.) (2) the mapping diagram picture of the reverse triangle inequality for the case where a >0 and b<0. (HINT: See video 0 Prelim Part 0, 8: 08 → 13 : 45, for mapping diagrams. Do it for a specific numbers for a and b and then overwrite the specific numbers in the mapping diagram by a and b.) (3) What does the mapping diagram show about the absolute value operation? (HINT: Interpret |r - y| as the distance between r and y.)
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