Answer
Either increasing and to the right or decreasing and to the left.
Work Step by Step
We know that when the inductor has an induced emf with the indicated direction, then the current in the inductor increases in the direction opposite to the increase in the current of the circuit. Thus, the current in the circuit can be either increasing to the right or decreasing to the left as the current in the inductor is directed toward the left (which means it is leaving the positive terminal).