Answer
a.) $\gt$
b.) $ \lt $
Work Step by Step
a.) Because the slope from the points (1,2), and (4,5) is greater than slope between (4,5) and (3,4.5), Then the sign used is $ \gt $
b.) Because the tangent slope at $f'(1)$ is greater than the slope between the points (4,5) and (1,2) Then the sign used is $ \lt $