Answer: The system of inequalities representing the situation are
x + y ≥ 20
10x + 20y ≤ 280
Step-by-step explanation:
Let x represent the number of $10 tickets that the radio station is giving away.
Let y represent the number of $20 tickets that the radio station is giving away.
They want to give away at least 20 tickets. This means that
x + y ≥ 20
The total cost of all the tickets they give away can be no more then $280. This means that
10x + 20y ≤ 280