**Polynomial Inequality Problem** **Problem:** Solve the polynomial inequality and graph the solution set on a real number line. Express the solution set in interval notation. \[ (x - 3)(x + 1) > 0 \] **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. **Options:** - **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. **Number Line Graph Options:** - **C.** - A number line ranging from -8 to 8. - Shaded region is from -3 to 1 with open circles on -3 and 1, indicating these points are not included. - **D.** - A number line ranging from -8 to 8. - Two shaded regions: one starting from -7 and extending leftwards with open circle at -7 and arrow indicating continuation to the left, and another starting from 2 and extending rightwards with an open circle at 2 and an arrow indicating continuation to the right. - **E.** - A number line ranging from -8 to 8. - Two shaded regions: one starting from -4 to -2 and another from 2 to 6. Both regions have open circles at the endpoints. - **F.** - A number line ranging from -8 to 8. - Shaded region extending from -7 to -3 and from 1 to 7 with open circles on -7, -3, 1, and 7. - **G.** - A number line ranging from -8 to 8. - Shaded region extending from -7 to -5 and from -2 to 8 with open circles on -7, -5, -2, and 8. - **H.** - A number line ranging from -8 to 8. - Shaded region from -3 to 2 with open circles on -3 and 2. **Action:** Click to select your answer.

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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**Polynomial Inequality Problem**

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

\[
(x - 3)(x + 1) > 0
\]

**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.

**Options:**
- **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.

**Number Line Graph Options:**
- **C.** 
  - A number line ranging from -8 to 8.
  - Shaded region is from -3 to 1 with open circles on -3 and 1, indicating these points are not included.

- **D.**
  - A number line ranging from -8 to 8.
  - Two shaded regions: one starting from -7 and extending leftwards with open circle at -7 and arrow indicating continuation to the left, and another starting from 2 and extending rightwards with an open circle at 2 and an arrow indicating continuation to the right.

- **E.**
  - A number line ranging from -8 to 8.
  - Two shaded regions: one starting from -4 to -2 and another from 2 to 6. Both regions have open circles at the endpoints.

- **F.**
  - A number line ranging from -8 to 8.
  - Shaded region extending from -7 to -3 and from 1 to 7 with open circles on -7, -3, 1, and 7.

- **G.**
  - A number line ranging from -8 to 8.
  - Shaded region extending from -7 to -5 and from -2 to 8 with open circles on -7, -5, -2, and 8.

- **H.**
  - A number line ranging from -8 to 8.
  - Shaded region from -3 to 2 with open circles on -3 and 2.

**Action:**
Click to select your answer.
Transcribed Image Text:**Polynomial Inequality Problem** **Problem:** Solve the polynomial inequality and graph the solution set on a real number line. Express the solution set in interval notation. \[ (x - 3)(x + 1) > 0 \] **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. **Options:** - **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. **Number Line Graph Options:** - **C.** - A number line ranging from -8 to 8. - Shaded region is from -3 to 1 with open circles on -3 and 1, indicating these points are not included. - **D.** - A number line ranging from -8 to 8. - Two shaded regions: one starting from -7 and extending leftwards with open circle at -7 and arrow indicating continuation to the left, and another starting from 2 and extending rightwards with an open circle at 2 and an arrow indicating continuation to the right. - **E.** - A number line ranging from -8 to 8. - Two shaded regions: one starting from -4 to -2 and another from 2 to 6. Both regions have open circles at the endpoints. - **F.** - A number line ranging from -8 to 8. - Shaded region extending from -7 to -3 and from 1 to 7 with open circles on -7, -3, 1, and 7. - **G.** - A number line ranging from -8 to 8. - Shaded region extending from -7 to -5 and from -2 to 8 with open circles on -7, -5, -2, and 8. - **H.** - A number line ranging from -8 to 8. - Shaded region from -3 to 2 with open circles on -3 and 2. **Action:** Click to select your answer.
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