Solve the rational inequality and graph the solution set on a real number line. Express the solution set in interval notation. X- 3 X +3 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. O 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.) O B. The solution set is the empty set. Which number line below shows the graph of the solution set?
Solve the rational inequality and graph the solution set on a real number line. Express the solution set in interval notation. X- 3 X +3 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. O 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.) O B. The solution set is the empty set. Which number line below shows the graph of the solution set?
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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![**Solve the Rational Inequality**
Solve the rational inequality and graph the solution set on a real number line. Express the solution set in interval notation.
\[
\frac{x - 3}{x - 3} \leq 2
\]
**Instructions**: 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 \( \boxed{ } \).
(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 Options:**
Which number line below shows the graph of the solution set?
- **A.** Number line showing an arrow extending from \(-\infty\) to \(-3\), including \(-3\).
- **B.** Number line showing an arrow extending from \(-10\) to \(4\).
- **C.** Number line showing an arrow extending from \(-10\) to \(10\).
- **D.** Number line showing an arrow extending from \(-4\) to \(2\).
- **E.** Number line showing an arrow extending from \(2\) to \(8\).
- **F.** Number line showing an arrow extending from \(6\) to \(10\).
**Graph Details**:
For each graph, represented on a horizontal line, numbers are marked from left to right. Arrows indicate whether portions of the line are included in the solution set, with round or square endpoints indicating open or closed intervals, respectively. Each graph choice is labeled with letters A to F.
Click to select your answer.
(Note: The inequality simplifies to all real numbers except where the denominator is zero, i.e., \(x \neq 3\)).](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F06e43df1-8ed4-4989-b006-20f31ba1ee98%2F9f2a610c-279f-4f41-9f17-b32d842b9010%2Ffrb30nlc.jpeg&w=3840&q=75)
Transcribed Image Text:**Solve the Rational Inequality**
Solve the rational inequality and graph the solution set on a real number line. Express the solution set in interval notation.
\[
\frac{x - 3}{x - 3} \leq 2
\]
**Instructions**: 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 \( \boxed{ } \).
(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 Options:**
Which number line below shows the graph of the solution set?
- **A.** Number line showing an arrow extending from \(-\infty\) to \(-3\), including \(-3\).
- **B.** Number line showing an arrow extending from \(-10\) to \(4\).
- **C.** Number line showing an arrow extending from \(-10\) to \(10\).
- **D.** Number line showing an arrow extending from \(-4\) to \(2\).
- **E.** Number line showing an arrow extending from \(2\) to \(8\).
- **F.** Number line showing an arrow extending from \(6\) to \(10\).
**Graph Details**:
For each graph, represented on a horizontal line, numbers are marked from left to right. Arrows indicate whether portions of the line are included in the solution set, with round or square endpoints indicating open or closed intervals, respectively. Each graph choice is labeled with letters A to F.
Click to select your answer.
(Note: The inequality simplifies to all real numbers except where the denominator is zero, i.e., \(x \neq 3\)).
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