1. A large hotel is selling off its beds, before replacing them with new ones. There are two sizes available: king and queen. The hotel must sell at least 40 king beds and at least 70 queen beds. It can sell at most 250 beds. It must sell at least 50% more queen beds than king beds. If x is the number of king beds and y is the number of queen beds sold, write four inequations in x and y representing the constraints.

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