A hot air balloon at a height of 850 feet above the ground starts to move towards the ground at a steady rate of 38 feet per minute. People in the hot air balloon can see a distant lake when they are at least 223 feet above the ground.

Let m represent the number of minutes the hot air balloon has been moving towards the ground. Write and solve an inequality that models all times when people in the hot air balloon will be able to see the lake.

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