https://file.aiquickdraw.com/mathbot/file/17277035128139mfrbf6i.jpg

From the image, the question asks to create two inequalities using $x$ and $y$ based on the situation provided. Here's a breakdown of the problem:

- Marta buys $x$ candles, where each candle costs $6.
- Marta buys $y$ books, where each book costs $14.
- She spends no more than $65, so this gives us one inequality.
- She buys more than 8 items in total, so this gives us a second inequality.

### Inequalities:

1. For the cost:
   \[
   6x + 14y \leq 65
   \]
   This inequality represents the total cost, which cannot exceed $65.

2. For the number of items:
   \[
   x + y > 8
   \]
   This inequality represents the fact that Marta buys more than 8 items in total.

These two inequalities model the given situation.

Let me know if you need further clarification, and here are five related questions for further practice:

1. What happens if Marta buys exactly 8 items? How would you represent this situation with an equation?
2. How would the inequalities change if each book costs $10 instead of $14?
3. If Marta decides she will only spend a maximum of $50, how would the inequality for spending change?
4. Can you graph the system of inequalities in the coordinate plane?
5. What is the maximum number of candles Marta can buy if she buys exactly 4 books?

**Tip:** When modeling situations with inequalities, always consider constraints like total cost, item limits, and spending limits to set up the appropriate inequalities.

Marta buys x candles and y books at a store. Each candle costs $6, and each book costs $14. She spends no more than $65 and buys more than 8 items total. Create two inequalities using x and y to model the situation.

Learn how to create two linear inequalities to model a situation where Marta buys candles and books, adhering to a budget of $65 and purchasing more than 8 items. This problem covers key algebra concepts such as inequalities, spending limits, and item counts.

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