4) Yoll brings home $$ \$ 4500 / $$ month. Write an inequality that would have to be true to make sure that she doesn't go over your monthly budget. $$ 3650+ $$ So $$ \leq 4500 $$

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To create an inequality that ensures Yoll does not exceed her monthly budget, we need to express the relationship between her income and her expenses.

1. **Known Conditions:**
   - Yoll's monthly income: $$ I = 4500 $$
   - Monthly budget (expenses): $$ E $$

2. **Inequality Setup:**
   To ensure that Yoll does not go over her budget, her expenses must be less than or equal to her income. This can be expressed as:
   $$
   E \leq I
   $$

3. **Substituting the Known Value:**
   We know that her income is $$ 4500 $$, so we can substitute this value into the inequality:
   $$
   E \leq 4500
   $$

4. **Including the Monthly Budget:**
   If we consider that her expenses include a fixed amount of $$ 3650 $$ (as mentioned in your prompt), we can express the inequality as:
   $$
   3650 + x \leq 4500
   $$
   where $$ x $$ represents any additional expenses.

5. **Final Inequality:**
   Rearranging the inequality gives us:
   $$
   x \leq 4500 - 3650
   $$
   Simplifying this, we find:
   $$
   x \leq 850
   $$

Thus, the inequality that must be true to ensure Yoll does not exceed her monthly budget is:
$$
3650 + x \leq 4500
$$
or equivalently,
$$
x \leq 850
$$
The inequality to ensure Yoll does not exceed her monthly budget is $$ 3650 + x \leq 4500 $$, where $$ x $$ represents any additional expenses.

4) Yoll brings home \( \$ 4500 / \) month. Write an inequality that would have to be true to make sure that she doesn't go over your monthly budget. \( 3650+ \) So \( \leq 4500 \)

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