## Answer :

1.

**Understanding the Variables and Resources**:

- [tex]\( t \)[/tex] represents the number of apple tarts made daily.

- [tex]\( p \)[/tex] represents the number of apple pies made daily.

- Each tart requires 1 apple.

- Each pie requires 8 apples.

- The baker receives 184 apples per day.

2.

**Constraints Due to Daily Production Limits**:

- The baker can make no more than 40 tarts per day. So, we have the inequality:

[tex]\[ t \leq 40 \][/tex]

3.

**Apples Usage Constraint**:

- Each tart uses 1 apple and each pie uses 8 apples. The total apples used for both tarts and pies should not exceed the daily shipment of 184 apples. Hence, the inequality for the total usage of apples is:

[tex]\[ p + 8t \leq 184 \][/tex]

Combining these two constraints, we get the following system of inequalities:

[tex]\[ \begin{aligned} t & \leq 40 \\ p + 8t & \leq 184 \end{aligned} \][/tex]

This system ensures that the baker adheres to both the maximum number of tarts they can produce and the total number of apples available daily.

Thus, the correct answer is:

[tex]\[ \begin{aligned} t & \leq 40 \\ p + 8t & \leq 184 \end{aligned} \][/tex]