Answer:
The system that represents the situation is:
x + y ≤ 6
x > 2
y > 2
Step-by-step Equation:
Start with the constraint x + y ≤ 6, which means that the total number of hours spent at the concert and the beach must be less than or equal to 6.
Add the constraint x > 2, which means that the number of hours spent at the concert must be greater than 2.
Add the constraint y > 2, which means that the number of hours spent at the beach must be greater than 2.
So the final system is:
x + y ≤ 6
x > 2
y > 2
This system represents the situation where you have at most 6 hours to spend at a concert and at a beach, and you want to spend at least 2 hours at the concert and more than 2 hours at the beach.
Hope this helps!