Victoria is running a fundraising campaign for the local community center. Her goal is to raise more than \[\$5{,}500\]. If the campaign has already raised \[\$2{,}324\], which of the following inequalities can be solved to find \[x\], the amount of money that still needs to be raised for Victoria to meet her goal?

To determine how much more money Victoria needs to raise to meet her goal, we can set up the following inequality.

### Step 1: Define the situation
- **Goal:** Victoria wants to raise more than \$5,500.
- **Already raised:** She has raised \$2,324 so far.
- **Amount still needed:** We denote this amount by $ x $.

### Step 2: Set up the inequality
Victoria's goal is to raise more than \$5,500, so the sum of the money already raised (\$2,324) and the additional amount she still needs to raise ($x$) must be greater than \$5,500.

The inequality can be written as:

\[
2{,}324 + x > 5{,}500
\]

### Step 3: Solve the inequality
To find the minimum amount of money $ x $ that Victoria still needs to raise, we solve the inequality:

\[
x > 5{,}500 - 2{,}324
\]

Simplifying this:

\[
x > 3{,}176
\]

### Conclusion
The inequality that can be solved to find $ x $, the amount of money that still needs to be raised, is:

\[
2{,}324 + x > 5{,}500
\]

After solving it, we find that $ x > 3{,}176 $, meaning Victoria needs to raise more than \$3,176 to meet her goal.

Would you like further clarification on any part of this solution? Here are some questions to deepen your understanding:

1. How would the inequality change if the goal were exactly \$5,500 instead of more than \$5,500?
2. What if Victoria had already raised \$6,000—how would that affect the inequality?
3. How can you verify the solution to an inequality?
4. What other methods could be used to solve the inequality $ 2{,}324 + x > 5{,}500 $?
5. How can inequalities be applied to other real-life fundraising or budgeting scenarios?

**Tip:** When solving inequalities, always remember to flip the inequality sign when multiplying or dividing by a negative number. This rule ensures the inequality remains valid.

Explore how to solve inequalities in a fundraising context. Victoria is running a campaign to raise more than $5,500. Learn step-by-step how to find the amount she still needs to raise using fundamental arithmetic operations. Suitable for Grades 6-8.

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