Show that if la - 51 < ½ and lb - 81 < ½, then we can conclude that l(a + b) - 131 < 1. Hint: Use the triangle inequality (la+ bl < lal + lbl).

Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter2: Equations And Inequalities
Section2.7: More On Inequalities
Problem 55E
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Show that if la - 51 < ½ and lb - 81 < ½, then we can conclude that l(a + b) - 131 < 1. Hint: Use the triangle inequality (la+ bl < lal + lbl).

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