To solve the nonlinear inequality x + 4 / x-8  ≤ 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 + 4             Sign of x − 8             Sign of (x + 4)/(x − 8)

Calculus: Early Transcendentals
8th Edition
ISBN:9781285741550
Author:James Stewart
Publisher:James Stewart
Chapter1: Functions And Models
Section: Chapter Questions
Problem 1RCC: (a) What is a function? What are its domain and range? (b) What is the graph of a function? (c) How...
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To solve the nonlinear inequality

x + 4 / x-8  ≤ 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 + 4
           
Sign of
x − 8
           
Sign of
(x + 4)/(x − 8)
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Do any of the endpoints fail to satify to inequality? If so which ones?

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