In the given problem, I know that the answer should be (d), because it should act like a Schmitt trigger.
But when I try to model this circuit in Flastad, I suddenly get that the answer (b) is right.
Perhaps I miss something again. The op amp should act like an output of either 5 of -5 volt, depending on the non-inverting voltage value and whether it is lower or higher than zero reference inverting voltage input.