Need help understanding Lenz's Law

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Homework Statement

I'm trying to find the direction of the current given certain situations, but do not know how to apply Lenz's Law. Attached a image below-

2. The attempt at a solution
So I figured out how each situation affects the induced current, and that the magnetic field is to the left. For a), the closing of the switch causes an increased magnetic field. If that's the case, shouldn't the current at resistor R flow to the right? The answer is left.

 

[haruspex]

So I figured out how each situation affects the induced current, and that the magnetic field is to the left. For a), the closing of the switch causes an increased magnetic field. If that's the case, shouldn't the current at resistor R flow to the right? The answer is left.

You do realize the windings are in opposite directions, yes?

 

[pdf]

Oh I missed that- whoops! So that means that the magnetic field for resistor R is going towards the right, therefore resulting in the current going left when the magnetic field is increased and towards the right when decreased?

 

[haruspex]

Oh I missed that- whoops! So that means that the magnetic field for resistor R is going towards the right, therefore resulting in the current going left when the magnetic field is increased and towards the right when decreased?

Yes.