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4) (a) Show that if a 0 and b 2 0, then |a + b| = |a| + |b|. (b) Show that if a (c) Show that if a < 0 and b 2 0, then |a b| < \a| + |b|. (d) Show that if a < 0 and b (e) Explain why the previous four items imply that 0, then |a + b| < \a| + |b|.. 0 and b 0, then lab= |a| + |b|. labllal b eal numbers a and b for all

4) (a) Show that if a 0 and b 2 0, then |a + b| = |a| + |b|. (b) Show that if a (c) Show that if a < 0 and b 2 0, then |a b| < \a| + |b|. (d) Show that if a < 0 and b (e) Explain why the previous four items imply that 0, then |a + b| < \a| + |b|.. 0 and b 0, then lab= |a| + |b|. labllal b eal numbers a and b for all

Algebra and Trigonometry (6th Edition)
Algebra and Trigonometry (6th Edition)
6th Edition
ISBN:9780134463216
Author:Robert F. Blitzer
Publisher:Robert F. Blitzer
ChapterP: Prerequisites: Fundamental Concepts Of Algebra
Section: Chapter Questions
Problem 1MCCP: In Exercises 1-25, simplify the given expression or perform the indicated operation (and simplify,...
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Hello, I am confused on how to prove this question.

4) (a) Show that if a 0 and b 2 0, then |a + b| = |a| + |b|. (b) Show that if a (c) Show that if a < 0 and b 2 0, then |a b| < \a| + |b|. (d) Show that if a < 0 and b (e) Explain why the previous four items imply that 0, then |a + b| < \a| + |b|.. 0 and b 0, then lab= |a| + |b|. labllal b eal numbers a and b for all
Transcribed Image Text:4) (a) Show that if a 0 and b 2 0, then |a + b| = |a| + |b|. (b) Show that if a (c) Show that if a < 0 and b 2 0, then |a b| < \a| + |b|. (d) Show that if a < 0 and b (e) Explain why the previous four items imply that 0, then |a + b| < \a| + |b|.. 0 and b 0, then lab= |a| + |b|. labllal b eal numbers a and b for all
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