To solve the nonlinear inequality

Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter1: Fundamental Concepts Of Algebra
Section1.1: Real Numbers
Problem 24E
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To solve the nonlinear inequality

x + 2 / x-4  ≤ 0
 
  

we first observe that the numbers______ (smaller value) and ______(larger value) are zeros of the numerator and denominator. These numbers divide the real line into three intervals. Complete the table.

Interval
−∞,
 
 
,
 
, ∞
 
Sign of
x + 2
           
Sign of
x − 4
           
Sign of
(x + 2)/(x − 4)
           

 

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