https://file.aiquickdraw.com/mathbot/file/1727680304616e9qr2mwf.jpg

The inequality shown in the image is:

\[ 353 < x + 176 \]

This inequality states that the total number of candles Dracula needs to sell (which is \( x + 176 \)) must be greater than 353. We can interpret each option by matching it to this inequality.

### Let's break down the options:

1. **"Dracula sold 176 candles already and needs to sell \( x \) more to reach his goal of at least 353."**
   - This suggests \( x + 176 \geq 353 \), but the inequality given is \( 353 < x + 176 \). This option does not match since "at least" implies greater than or equal to, not strictly greater than.

2. **"Dracula sold 176 candles already and needs to sell \( x \) more to reach his goal of more than 353."**
   - This matches the inequality \( 353 < x + 176 \), meaning Dracula must sell more candles so that the total exceeds 353.

3. **"Dracula sold 353 candles and is hoping to sell another 176."**
   - This is not relevant to the inequality. It talks about selling an additional 176 candles after selling 353.

4. **"Dracula must sell at most 353 candles to get his bonus."**
   - This suggests Dracula needs to sell no more than 353 candles, which is contradictory to the inequality that requires the total number of candles to be greater than 353.

### Correct Answer:
The second option is correct:
**"Dracula sold 176 candles already and needs to sell \( x \) more to reach his goal of more than 353."**

Would you like a more detailed explanation on how to solve inequalities or any other questions about this problem? Here are five related questions for further practice:

1. How would you solve \( x + 176 \geq 353 \)?
2. If Dracula sold 200 candles, how many more does he need to sell to exceed 353?
3. Can you write a similar inequality where Dracula needs to sell fewer than 400 candles?
4. What would happen if the inequality were \( 353 \leq x + 176 \)?
5. What does the inequality \( x < 176 - 353 \) represent?

**Tip**: When solving inequalities, remember that reversing the inequality sign happens only when you multiply or divide by a negative number.

353 < x + 176: Dracula sold 176 candles already and needs to sell x more to reach his goal.

Understand how to solve the inequality 353 < x + 176 by determining the number of candles Dracula needs to sell to exceed his goal of 353 candles. Suitable for students in Grades 6-8.

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