Prove that |a b| |a| |b|. Apply the triangle inequality from Problem 93 to
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Prove that |a − b| ≥ |a| − |b|. Apply the triangle inequality from Problem 93 to
Data from problem 93
Prove the triangle inequality |a + b| ≤ |a| + |b|. Expand |a + b|2 = (a + b)2, and use the fact that a ≤ |a|. ]
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ANSWER To prove the triangle inequality a b a b we can expand a b2 and use t...View the full answer
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