Rafael can invite between 30 and 40 people for a party cost of $250. According to the pricing structure:
- Up to 10 guests: $100
- Up to 20 guests: $150
- Up to 30 guests: $200
- Up to 40 guests: $250
- Up to 50 guests: $275
Since Rafael wants to spend $250, he can have more than 30 and up to 40 guests. Therefore, the correct response is:
30 < x ≤ 40 (30 less than x less-than-or-equal to 40).