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To solve the nonlinear inequality x+1s0, 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 + 1 Sign of x - 4 Sign of (x + 1)/(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.)

To solve the nonlinear inequality x+1s0, 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 + 1 Sign of x - 4 Sign of (x + 1)/(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.)

Algebra and Trigonometry (MindTap Course List)
Algebra and Trigonometry (MindTap Course List)
4th Edition
ISBN:9781305071742
Author:James Stewart, Lothar Redlin, Saleem Watson
Publisher:James Stewart, Lothar Redlin, Saleem Watson
Chapter1: Equations And Graphs
Section1.7: Solving Inequalities
Problem 2E
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x + 1 х — 4 < 0, we first observe that the numbers To solve the nonlinear inequality (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 + 1 Sign of x – 4 Sign of (x + 1)/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.)
Transcribed Image Text:x + 1 х — 4 < 0, we first observe that the numbers To solve the nonlinear inequality (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 + 1 Sign of x – 4 Sign of (x + 1)/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.)
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