Final answer:
The system of inequalities that represents Tim's daily tennis practice is x ≥ 2 and y > 1.
Step-by-step explanation:
To represent Tim's daily tennis practice, we will use the following system of inequalities:
x represents the number of hours spent practicing backhand.
y represents the number of hours spent practicing serve.
Given that Tim practices his backhand at least 2 hours each day and works less on his backhand than his serve, we can write the following inequality for the backhand practice: x ≥ 2.
And since Tim practices his serve more than an hour daily, we can write the following inequality for the serve practice:
y > 1.
So, the system of inequalities that represents Tim's daily tennis practice is:
x ≥ 2
y > 1