Final answer:
Caroline practices piano up to 11 hours per week, with the inequality representing this being 0 ≤ P ≤ 11.
Step-by-step explanation:
The question asks us to write an inequality to represent the number of hours Caroline practices piano in one week. Caroline practices 2 hours a day from Monday to Thursday, which equates to 2 hours × 4 days = 8 hours. On Sunday, she practices up to 3 hours, therefore, the maximum hours she practices per week is 8 hours from Monday to Thursday plus 3 hours on Sunday, giving a total of 11 hours.
The inequality that shows the number of hours Caroline practices in one week (P) is:
0 ≤ P ≤ 11.
This indicates that Caroline practices at least 0 hours and at most 11 hours in a week.