Use the triangle inequality to establish the following inequalities: (b) ||c| – |d|| < |c – d| IPl + |이 > \p - 기 () (Note: these can be proven by cases, but they can also be deduced from the triangle inequality by choosing c or d cleverly. )

Algebra: Structure And Method, Book 1
(REV)00th Edition
ISBN:9780395977224
Author:Richard G. Brown, Mary P. Dolciani, Robert H. Sorgenfrey, William L. Cole
Publisher:Richard G. Brown, Mary P. Dolciani, Robert H. Sorgenfrey, William L. Cole
Chapter10: Inequalities
Section10.7: Graphing Linear Inequalities
Problem 14WE
icon
Related questions
Question
Use the triangle inequality to establish the following inequalities:
(b) ||c| – |d|| < |c – d|
IPl + |이 > \p - 기 ()
(Note: these can be proven by cases, but they can also be deduced from the triangle inequality
by choosing c or d cleverly. )
Transcribed Image Text:Use the triangle inequality to establish the following inequalities: (b) ||c| – |d|| < |c – d| IPl + |이 > \p - 기 () (Note: these can be proven by cases, but they can also be deduced from the triangle inequality by choosing c or d cleverly. )
Expert Solution
steps

Step by step

Solved in 2 steps with 2 images

Blurred answer
Recommended textbooks for you
Algebra: Structure And Method, Book 1
Algebra: Structure And Method, Book 1
Algebra
ISBN:
9780395977224
Author:
Richard G. Brown, Mary P. Dolciani, Robert H. Sorgenfrey, William L. Cole
Publisher:
McDougal Littell
Elementary Geometry For College Students, 7e
Elementary Geometry For College Students, 7e
Geometry
ISBN:
9781337614085
Author:
Alexander, Daniel C.; Koeberlein, Geralyn M.
Publisher:
Cengage,
Algebra & Trigonometry with Analytic Geometry
Algebra & Trigonometry with Analytic Geometry
Algebra
ISBN:
9781133382119
Author:
Swokowski
Publisher:
Cengage
Glencoe Algebra 1, Student Edition, 9780079039897…
Glencoe Algebra 1, Student Edition, 9780079039897…
Algebra
ISBN:
9780079039897
Author:
Carter
Publisher:
McGraw Hill
College Algebra
College Algebra
Algebra
ISBN:
9781337282291
Author:
Ron Larson
Publisher:
Cengage Learning
Elementary Geometry for College Students
Elementary Geometry for College Students
Geometry
ISBN:
9781285195698
Author:
Daniel C. Alexander, Geralyn M. Koeberlein
Publisher:
Cengage Learning