A robotic arm base is fixed at (0,0). It needs to reach into a region bounded by two laser beams originating from the base and tangent to a hazardous circular zone centered at (5,5) with radius 3. The robot can only operate safely in the angular sector *between* the beams that does not contain the circle. If the arm is restricted to the first quadrant, what is the range of slopes (m) available for the arm's movement between the x-axis (y=0) and the lower tangent?