A Potating, panoramic camera attached to a helium balloon can capture images of all the airspace below the balloon. The

Question

A Potating, panoramic camera attached to a helium balloon can capture images of all the airspace below the balloon. The altitude, in feet, of the balloon m minutes after it is released, is equal to 4 more than the square root of the sum of
100m³ and m².
A similar camera is attached to a drone and aimed upward to capture images of all the airspace above the drone. The altitude, in feet, of the drone m minutes after it is launched, is equal to the cube root of the sum of m² and 1,600m.
Which system of inequalities represents the altitudes, in feet, of airspace which are captured by both cameras after m minutes?

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