1.2.5* Recall the Triangle Inequality |a + b |a| + |b| for real numbers a...

 

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1.2.5* Recall the Triangle Inequality |a + b ≤ |a| + |b| for real numbers a and b. (a) Prove that a - b ≤ |a| + |b. When is equality achieved? (b) Prove the Reverse Triangle Inequality ||a|-|b|| < |a - bl. When is equality achieved? 1.2.5* Recall the Triangle Inequality |a + b ≤ |a| + |b| for real numbers a and b. (a) Prove that a - b ≤ |a| + |b. When is equality achieved? (b) Prove the Reverse Triangle Inequality ||a|-|b|| < |a - bl. When is equality achieved?