Final answer:
The system of inequalities that represents Tim's daily tennis practice is x ≥ 2, x < y, and y > 1/2.
Step-by-step explanation:
Let x represent the number of hours spent practicing Tim's backhand, and y represent the number of hours spent practicing his serve.
According to the given information, Tim practices his backhand for at least 2 hours each day, so the inequality for his backhand practice is x ≥ 2.
Tim works less on his backhand than his serve, which means x < y.
Additionally, Tim practices his serve for more than 1/2 hour daily, so the inequality for his serve practice is y > 1/2.
Therefore, the system of inequalities that represents Tim's daily tennis practice is:
x ≥ 2
x < y
y > 1/2