**Problem Statement:** Solve the polynomial inequality and graph the solution set on a real number line. Express the solution set in interval notation. \[ x(7 - x)(x - 5) < 0 \] 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. Which number line below shows the graph of the solution set? Options: - **A.** Number line shows intervals marked with arrows starting from -7 to 7, thick line from -3 to -5. - **B.** Number line shows intervals marked with arrows starting from -7 to 7, thick line from -3 to -3 to 8. - **C.** Number line shows intervals marked with arrows starting from -8 to 8, thick line from -8 to -5. - **D.** Number line shows intervals marked with arrows starting from -8 to 8, thick line from 5 to 8. - **E.** Number line shows intervals marked with arrows starting from -8 to 8, thick line from -5 to 0 and from 5 to 8. - **F.** Number line shows intervals marked with arrows starting from -8 to 8, thick line from 0 to 5. - **G.** Number line shows intervals marked with arrows starting from -8 to 8, entire range highlighted. - **H.** Number line shows intervals marked with arrows starting from -8 to 8, thick line from -8 to 0. **Instructions:** Click to select your answer. [Save for Later]

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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**Problem Statement:**

Solve the polynomial inequality and graph the solution set on a real number line. Express the solution set in interval notation.

\[ x(7 - x)(x - 5) < 0 \]

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.

Which number line below shows the graph of the solution set?

Options:

- **A.** Number line shows intervals marked with arrows starting from -7 to 7, thick line from -3 to -5.

- **B.** Number line shows intervals marked with arrows starting from -7 to 7, thick line from -3 to -3 to 8.

- **C.** Number line shows intervals marked with arrows starting from -8 to 8, thick line from -8 to -5.

- **D.** Number line shows intervals marked with arrows starting from -8 to 8, thick line from 5 to 8.

- **E.** Number line shows intervals marked with arrows starting from -8 to 8, thick line from -5 to 0 and from 5 to 8.

- **F.** Number line shows intervals marked with arrows starting from -8 to 8, thick line from 0 to 5.

- **G.** Number line shows intervals marked with arrows starting from -8 to 8, entire range highlighted.

- **H.** Number line shows intervals marked with arrows starting from -8 to 8, thick line from -8 to 0.

**Instructions:**

Click to select your answer.

[Save for Later]
Transcribed Image Text:**Problem Statement:** Solve the polynomial inequality and graph the solution set on a real number line. Express the solution set in interval notation. \[ x(7 - x)(x - 5) < 0 \] 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. Which number line below shows the graph of the solution set? Options: - **A.** Number line shows intervals marked with arrows starting from -7 to 7, thick line from -3 to -5. - **B.** Number line shows intervals marked with arrows starting from -7 to 7, thick line from -3 to -3 to 8. - **C.** Number line shows intervals marked with arrows starting from -8 to 8, thick line from -8 to -5. - **D.** Number line shows intervals marked with arrows starting from -8 to 8, thick line from 5 to 8. - **E.** Number line shows intervals marked with arrows starting from -8 to 8, thick line from -5 to 0 and from 5 to 8. - **F.** Number line shows intervals marked with arrows starting from -8 to 8, thick line from 0 to 5. - **G.** Number line shows intervals marked with arrows starting from -8 to 8, entire range highlighted. - **H.** Number line shows intervals marked with arrows starting from -8 to 8, thick line from -8 to 0. **Instructions:** Click to select your answer. [Save for Later]
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