Complete the following steps to prove the triangle

Chapter 1, Problem 67

(choose chapter or problem)

Complete the following steps to prove the triangle inequality. (a) Let a and b be real numbers. Which property in the summary box on page 7 tells us that a a and b b ? (b) Add the two inequalities in part (a) to obtain a b a b . (c) In a similar fashion, add the two inequalities a a and b b and deduce that (a b) a b . (d) Why do the results in parts (b) and (c) imply that 0 a b 0 0 a 0 0 b 0 ? 0

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