Given
To graduate, you must take at least 16 core credits and 9 elective credits and you can take no more than a total of 32 credits.
Answer
The minimum core credits are 16
![C\ge16](https://img.qammunity.org/2023/formulas/mathematics/high-school/7h6310c8w45t8ovpr30ndheqg2fyphv9zt.png)
The minimum elective is 9
![E\ge9](https://img.qammunity.org/2023/formulas/mathematics/high-school/mujddhlbpgj8njlq40nu6o91p5f2plouw1.png)
Total credits are not more than 32
![C+E\text{ }\leq32](https://img.qammunity.org/2023/formulas/mathematics/high-school/6hsh1ndubm3qd3but92k4tbshtllypwajz.png)
Combining all these
![C\ge16,E\ge9,C+E\leq32](https://img.qammunity.org/2023/formulas/mathematics/high-school/qzc10i0bgiq931geaj16d88dlly2gsni3x.png)
Option A is correct