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This you see as the north pole forming near the north pole of the solenoid. Like poles repel, unlike poles attract is kind of a misleading analogy(I find it strange that I realized this after reading your question). What actually is happening is that the tiny magnetic dipoles inside the magnetic material(a bar of iron, for example) align with the direction of the magnetic field.
For example, opposite poles attract each other. That pulling force of attraction you feel as magnets stick to each other is the north pole of one magnet drawing the south pole of another magnet toward it. Identical poles will repel (push away) each other. So when it comes to magnets, opposites really do attract!