SOLVE EACH INEQUALITY BELOW. GRAPH THE SOLUTION BY TYPING THE VALUE UNDER THE NUMBER LINE AND DRAGGING THE NECESSARY PIECES AT THE BOTTOM TO THE NUMBER LINE. 2 3 b - 6.5 <-8 6g < 198 5 6 -19 -> 3 a + 13 >-23 -3n < 81 DRAG m O o o ● THESE OManeuvering the Middle LLC, 2019

Algebra and Trigonometry (6th Edition)
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ISBN:9780134463216
Author:Robert F. Blitzer
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ChapterP: Prerequisites: Fundamental Concepts Of Algebra
Section: Chapter Questions
Problem 1MCCP: In Exercises 1-25, simplify the given expression or perform the indicated operation (and simplify,...
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**Solving and Graphing Inequalities**

Follow the steps below to solve each inequality. Once solved, graph the solution by typing the value under the number line and dragging the necessary pieces at the bottom to the number line.

### Inequality Problems:

#### Problem 1:
\[ \frac{n}{8} \geq -4 \]
- Solution: Solve this inequality for \( n \).

#### Problem 2:
\[ b - 6.5 < -8 \]
- Solution: Solve this inequality for \( b \).

#### Problem 3:
\[ 6g \leq 198 \]
- Solution: Solve this inequality for \( g \).

#### Problem 4:
\[ \frac{w}{-19} > 3 \]
- Solution: Solve this inequality for \( w \).

#### Problem 5:
\[ a + 13 > -23 \]
- Solution: Solve this inequality for \( a \).

#### Problem 6:
\[ -3n \leq 81 \]
- Solution: Solve this inequality for \( n \).

### Graphing Instructions:

Below the inequalities, there are number lines and a set of draggable items:

- **Open Circles:** Indicate that the value is not included (i.e., \(>\) or \( < \)).
- **Closed Circles:** Indicate that the value is included (i.e., \(\geq\) or \(\leq\)).
- **Arrows pointing to the left:** Indicate that the values are less than or less than or equal to a certain number.
- **Arrows pointing to the right:** Indicate that the values are greater than or greater than or equal to a certain number.

To graph the solution, drag the appropriate circle (open or closed) and arrow (left or right) to the number line based on your solution to the inequality.

**Example:**
If the solution to an inequality is \(x \geq 5\), place a closed circle on 5 and drag the arrow pointing to the right to indicate all values greater than or equal to 5.

### Notes:

1. The first number line provided below each inequality is meant to place the primary value derived from your solution.
2. Use the empty box below each number line to type in the solution derived from solving the inequality.
3. Be sure to use the correct circle and arrow to accurately represent the solution on the number line.

This interactive activity helps
Transcribed Image Text:**Solving and Graphing Inequalities** Follow the steps below to solve each inequality. Once solved, graph the solution by typing the value under the number line and dragging the necessary pieces at the bottom to the number line. ### Inequality Problems: #### Problem 1: \[ \frac{n}{8} \geq -4 \] - Solution: Solve this inequality for \( n \). #### Problem 2: \[ b - 6.5 < -8 \] - Solution: Solve this inequality for \( b \). #### Problem 3: \[ 6g \leq 198 \] - Solution: Solve this inequality for \( g \). #### Problem 4: \[ \frac{w}{-19} > 3 \] - Solution: Solve this inequality for \( w \). #### Problem 5: \[ a + 13 > -23 \] - Solution: Solve this inequality for \( a \). #### Problem 6: \[ -3n \leq 81 \] - Solution: Solve this inequality for \( n \). ### Graphing Instructions: Below the inequalities, there are number lines and a set of draggable items: - **Open Circles:** Indicate that the value is not included (i.e., \(>\) or \( < \)). - **Closed Circles:** Indicate that the value is included (i.e., \(\geq\) or \(\leq\)). - **Arrows pointing to the left:** Indicate that the values are less than or less than or equal to a certain number. - **Arrows pointing to the right:** Indicate that the values are greater than or greater than or equal to a certain number. To graph the solution, drag the appropriate circle (open or closed) and arrow (left or right) to the number line based on your solution to the inequality. **Example:** If the solution to an inequality is \(x \geq 5\), place a closed circle on 5 and drag the arrow pointing to the right to indicate all values greater than or equal to 5. ### Notes: 1. The first number line provided below each inequality is meant to place the primary value derived from your solution. 2. Use the empty box below each number line to type in the solution derived from solving the inequality. 3. Be sure to use the correct circle and arrow to accurately represent the solution on the number line. This interactive activity helps
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