Let d represent the distance, in miles, that Sarah’s car will go using a full tank of gas.
Drag the words, numbers, and symbols into the boxes to complete a compound inequality that can be solved to find the range of distance Sarah's car can go using a full tank. d BLANK 15x BLANK The available boxes include is greater than or equal to, 24, AND, is less than or BLANK d BLANK 15x BLANK equal to, 32, OR, and 15. 

To solve this problem, we need to construct a compound inequality that represents the range of distances Sarah's car can travel using a full tank of gas. We'll use the given variables and choose the appropriate symbols and words from the provided options.

Let's break down the inequality:

1. **The variable `d`** represents the distance Sarah's car can go with a full tank.
2. **The expression `15x`** likely represents the relationship between the distance and some other factor, such as the amount of gas in gallons or the car's fuel efficiency.
3. We need to find a range for `d`, so we'll use the "is greater than or equal to" and "is less than or equal to" options to set bounds.

Considering these points, we can write the compound inequality as:

\[ 15x \leq d \leq 24 \]

Now, let's use the provided options to fill in the blanks:

1. **First part of the inequality:** \( 15x \leq d \)
   - The symbol "is less than or equal to" fits here.

2. **Connecting word:** AND (since both conditions must be true for the range of distance)
   
3. **Second part of the inequality:** \( d \leq 24 \)
   - The symbol "is less than or equal to" fits here.

Using the available boxes and words, the completed compound inequality is:

\[ 15x \ \text{is less than or equal to} \ d \ \text{AND} \ d \ \text{is less than or equal to} \ 24 \]

**Would you like more details or have any other questions?**

Here are five related questions to expand on this topic:

1. How would the inequality change if the maximum distance Sarah's car can go is increased to 30 miles?
2. What if Sarah’s car can only travel a minimum of 10 miles with a full tank? How would you adjust the inequality?
3. How do you solve this inequality if `x` is given a specific value?
4. What does it mean in real-world terms if `d` represents the distance traveled?
5. Can this compound inequality be represented on a number line? How?

**Tip:** When working with inequalities, always pay close attention to the symbols used (`<`, `>`, `≤`, `≥`). These symbols determine whether the endpoints are included in the solution set.

Learn how to solve a compound inequality to find the range of distances Sarah's car can travel using a full tank of gas. This problem involves understanding inequalities and applying them to practical scenarios. Suitable for Grades 7-9.

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