To solve the nonlinear inequality So, we first observe that the numbers (emaler value) and larger value) are zeros of the numerator and denominator. These numbers divide the real line into three intervals. Complete the table (C Interval Sign of x+ 2 Sign of x-5 Sign of (x + 2)/(x – 5) 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 ist. 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
Chapter1: Equations And Graphs
Section1.7: Solving Inequalities
Problem 2E: To solve the nonlinear inequality x+1x20 , we first observe that the number, ____ and ____ are zeros...
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To solve the nonlinear inequality

To solve the nonlinear inequality ** <0, we first observe that the numbers
x + 2
(smaller value) and
(larger value) are zeros of the numerator and denominator. These numbers divide the real line into three intervals. Complete the table.
x - 5
Interval
Sign of x + 2
Sign of x -5
Sign of (x + 2)/(x – 5)
? 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.)
Transcribed Image Text:To solve the nonlinear inequality ** <0, we first observe that the numbers x + 2 (smaller value) and (larger value) are zeros of the numerator and denominator. These numbers divide the real line into three intervals. Complete the table. x - 5 Interval Sign of x + 2 Sign of x -5 Sign of (x + 2)/(x – 5) ? 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.)
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