To solve the nonlinear inequality X + x- S0, 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) Do any of the endpoints fail to satisfy the inequality? O Yes O No If so, which one(s)? (Enter your answers as a comma-separated list. If an answer does not exist, enter DNE.) Find the solution of the inequality. (Enter your answer using interval notation.)

College Algebra
7th Edition
ISBN:9781305115545
Author:James Stewart, Lothar Redlin, Saleem Watson
Publisher:James Stewart, Lothar Redlin, Saleem Watson
ChapterP: Prerequisites
Section: Chapter Questions
Problem 15E
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DETAILS
SPRECALC7 1.8.002.
MY NOTES
ASK YOUR TEACHE
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
00,
(3)
Sign of x + 2
? v
? v
Sign of x - 4
Sign of (x + 2)/(x – 4)
? v
Do any of the endpoints fail to satisfy the inequality?
O Yes
O No
If so, which one(s)? (Enter your answers as a comma-separated list. If an answer does not exist, enter DNE.)
Find the solution of the inequality. (Enter your answer using interval notation.)
Submit Answer
MY NOTES
ASK YOUR TEACHER
7.
DETAILS
SPRECALC7 2.7.001.ALT.
9:55 AM
From the aranhs of f and a in the fiaure we find the following (Assume that oach noint lies on the aridlines)
8/5/2021
75
Type here to search
SAMSUNG
Fn
Lock
F12
Prt Sc
Insert
F10
F11
F6
F7
F8
F9
F1
F2
F3
F4
F5
ESC
Backspace
LL
00
Transcribed Image Text:DETAILS SPRECALC7 1.8.002. MY NOTES ASK YOUR TEACHE 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 00, (3) Sign of x + 2 ? v ? v Sign of x - 4 Sign of (x + 2)/(x – 4) ? v Do any of the endpoints fail to satisfy the inequality? O Yes O No If so, which one(s)? (Enter your answers as a comma-separated list. If an answer does not exist, enter DNE.) Find the solution of the inequality. (Enter your answer using interval notation.) Submit Answer MY NOTES ASK YOUR TEACHER 7. DETAILS SPRECALC7 2.7.001.ALT. 9:55 AM From the aranhs of f and a in the fiaure we find the following (Assume that oach noint lies on the aridlines) 8/5/2021 75 Type here to search SAMSUNG Fn Lock F12 Prt Sc Insert F10 F11 F6 F7 F8 F9 F1 F2 F3 F4 F5 ESC Backspace LL 00
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