5. Chris pays a fee if her bank balance falls below $$ \$ 10 $$ on the statement date. Prior to the statement date, her balance was $$ -\$ 3.46 $$. Then, Chris made a deposit, $$ d $$, in ample time, so she did not have to pay a fee. a. Write an inequality to represent this situation.

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To represent the situation, let's break down the information given:

1. **Initial Balance:** Chris's balance before making the deposit was $$-\$3.46$$.
2. **Deposit:** She made a deposit of $$d$$ dollars.
3. **Final Balance:** After the deposit, her balance becomes $$-\$3.46 + d$$.
4. **Fee Condition:** She avoids paying the fee if her final balance is **at least** $$\$10$$.

To ensure she doesn't pay the fee, her final balance must satisfy the following inequality:

$$
-3.46 + d \geq 10
$$

This inequality states that after adding the deposit $$d$$ to her initial balance of $$-\$3.46$$, the resulting balance must be **greater than or equal to** $$\$10$$.

**Answer:**  
After adding d, her balance is at least $10. Thus,

−3.46 + d ≥ 10
The inequality representing the situation is: $$ -3.46 + d \geq 10 $$

5. Chris pays a fee if her bank balance falls below \( \$ 10 \) on the statement date. Prior to the statement date, her balance was \( -\$ 3.46 \). Then, Chris made a deposit, \( d \), in ample time, so she did not have to pay a fee. a. Write an inequality to represent this situation.

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