Jace is buying cookies and brownies for a party. He needs at least 8 cookies and at least 4 brownies. A cookie costs $3 and a brownie costs $5. The most he can spend is $60.

To create a system of linear inequalities from the given description, let's first define our variables:

• Let \( x \) represent the number of cookies Jace buys.
• Let \( y \) represent the number of brownies Jace buys.

Now, we can formulate the inequalities based on the requirements and constraints:

1. Jace needs at least 8 cookies: \[ x \geq 8 \]

2. Jace needs at least 4 brownies: \[ y \geq 4 \]

3. The total cost of cookies and brownies cannot exceed $60. The cost can be represented as: \[ 3x + 5y \leq 60 \]

Now, we can summarize the system of linear inequalities:

1. \( x \geq 8 \)
2. \( y \geq 4 \)
3. \( 3x + 5y \leq 60 \)

This is the system of inequalities that represents Jace's situation regarding the cookies and brownies.