Tatiana wants to give friendship bracelets to her \[32\] classmates. She already has \[5\] bracelets, and she can buy more bracelets in packages of \[4\].
Write an inequality to determine the number of packages, \[p\], Tatiana could buy to have enough bracelets.

To determine the number of packages Tatiana needs to buy, we can set up the inequality based on the following information:

- Tatiana needs a total of 32 bracelets.
- She already has 5 bracelets.
- Each package contains 4 bracelets.

Let \( p \) represent the number of packages Tatiana needs to buy. The total number of bracelets she will have after buying \( p \) packages is:

\[
5 + 4p
\]

For Tatiana to have enough bracelets, this total must be at least 32. Therefore, the inequality is:

\[
5 + 4p \geq 32
\]

This inequality represents the condition that the number of bracelets Tatiana has, after purchasing \( p \) packages, must be sufficient to meet the requirement of 32 bracelets.

Would you like the steps to solve this inequality or any further details? 

Here are 5 related questions to explore:
1. What is the minimum number of packages Tatiana needs to buy?
2. How many total bracelets will Tatiana have if she buys exactly 6 packages?
3. If Tatiana decides to buy 7 packages, how many extra bracelets will she have?
4. How would the inequality change if each package contained 5 bracelets instead of 4?
5. What if Tatiana had 10 bracelets to start with—how would that affect the inequality?

**Tip:** When setting up inequalities, always make sure to account for the initial amount and the rate at which additional quantities are added.

Learn how to solve an inequality problem where Tatiana needs enough bracelets for 32 classmates. This problem involves basic arithmetic and inequalities. Suitable for Grades 5-7.

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