Solve the polynomial inequality and graph the solution set on a real number line. Express the solution set in interval notation. x +x? + 9x+9> 0
Solve the polynomial inequality and graph the solution set on a real number line. Express the solution set in interval notation. x +x? + 9x+9> 0
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...
Related questions
Question
![**Transcription for Educational Website**
---
**Problem Statement:**
Solve the polynomial inequality and graph the solution set on a real number line. Express the solution set in interval notation.
\[ x^2 + 9x + 9 > 0 \]
**Question:**
Solve the inequality. What is the solution set? Select the correct choice below and, if necessary, fill in the answer box to complete your choice.
- **A.** The solution set is: \_\_\_ (Simplify your answer. Type your answer in interval notation. Type an exact answer, using radicals as needed. Use integers or fractions for any numbers in the expression.)
- **B.** The solution set is the empty set.
**Graph Choices:**
Choose the correct graph of the solution set below.
**Graph A:**
- A number line with two branches extending from \(-\infty\) to \(-3\) and from \( -3 \) to \( \infty \) with open circles at \(-3\).
**Graph B:**
- A number line with arrows extending from both endpoints starting from \( -\infty \) and \( \infty \) and shaded region between \(-5\) and \(0\).
**Graph C:**
- A number line with an open circle at \(-5\) and shaded region extending to the right towards \( \infty \).
**Graph D:**
- A number line with open circles at both \(-5\) and \(0\) and shaded region between these two points.
**Instructions:**
Click to select your answer.
**Useful Tip:**
Remember to express your answer in interval notation and double-check the graphs for accuracy based on your solution.
---
**Note:** The question provides multiple-choice graphs representing potential solutions to the inequality. Analyze the inequality \( f(x) = x^2 + 9x + 9 \) to determine the correct regions where this expression is greater than zero and match it to the appropriate graph choice.](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F363bc224-7f55-4058-a1fa-008f73bb21df%2Fac03ce6f-5a56-4a42-bf6e-b6838d8621eb%2Fdoh79jk.jpeg&w=3840&q=75)
Transcribed Image Text:**Transcription for Educational Website**
---
**Problem Statement:**
Solve the polynomial inequality and graph the solution set on a real number line. Express the solution set in interval notation.
\[ x^2 + 9x + 9 > 0 \]
**Question:**
Solve the inequality. What is the solution set? Select the correct choice below and, if necessary, fill in the answer box to complete your choice.
- **A.** The solution set is: \_\_\_ (Simplify your answer. Type your answer in interval notation. Type an exact answer, using radicals as needed. Use integers or fractions for any numbers in the expression.)
- **B.** The solution set is the empty set.
**Graph Choices:**
Choose the correct graph of the solution set below.
**Graph A:**
- A number line with two branches extending from \(-\infty\) to \(-3\) and from \( -3 \) to \( \infty \) with open circles at \(-3\).
**Graph B:**
- A number line with arrows extending from both endpoints starting from \( -\infty \) and \( \infty \) and shaded region between \(-5\) and \(0\).
**Graph C:**
- A number line with an open circle at \(-5\) and shaded region extending to the right towards \( \infty \).
**Graph D:**
- A number line with open circles at both \(-5\) and \(0\) and shaded region between these two points.
**Instructions:**
Click to select your answer.
**Useful Tip:**
Remember to express your answer in interval notation and double-check the graphs for accuracy based on your solution.
---
**Note:** The question provides multiple-choice graphs representing potential solutions to the inequality. Analyze the inequality \( f(x) = x^2 + 9x + 9 \) to determine the correct regions where this expression is greater than zero and match it to the appropriate graph choice.
Expert Solution
This question has been solved!
Explore an expertly crafted, step-by-step solution for a thorough understanding of key concepts.
This is a popular solution!
Trending now
This is a popular solution!
Step by step
Solved in 3 steps with 6 images
Knowledge Booster
Learn more about
Need a deep-dive on the concept behind this application? Look no further. Learn more about this topic, calculus and related others by exploring similar questions and additional content below.Recommended textbooks for you
Calculus: Early Transcendentals
Calculus
ISBN:
9781285741550
Author:
James Stewart
Publisher:
Cengage Learning
Thomas' Calculus (14th Edition)
Calculus
ISBN:
9780134438986
Author:
Joel R. Hass, Christopher E. Heil, Maurice D. Weir
Publisher:
PEARSON
Calculus: Early Transcendentals (3rd Edition)
Calculus
ISBN:
9780134763644
Author:
William L. Briggs, Lyle Cochran, Bernard Gillett, Eric Schulz
Publisher:
PEARSON
Calculus: Early Transcendentals
Calculus
ISBN:
9781285741550
Author:
James Stewart
Publisher:
Cengage Learning
Thomas' Calculus (14th Edition)
Calculus
ISBN:
9780134438986
Author:
Joel R. Hass, Christopher E. Heil, Maurice D. Weir
Publisher:
PEARSON
Calculus: Early Transcendentals (3rd Edition)
Calculus
ISBN:
9780134763644
Author:
William L. Briggs, Lyle Cochran, Bernard Gillett, Eric Schulz
Publisher:
PEARSON
Calculus: Early Transcendentals
Calculus
ISBN:
9781319050740
Author:
Jon Rogawski, Colin Adams, Robert Franzosa
Publisher:
W. H. Freeman
Calculus: Early Transcendental Functions
Calculus
ISBN:
9781337552516
Author:
Ron Larson, Bruce H. Edwards
Publisher:
Cengage Learning