Ivan Perisic had given Inter the lead, but Marko Arnautovic's header drew Bologna level.
“Without doubt, there is bitterness, as is normal. We are no longer in charge of our own fate, we have to check what Milan do and try to win our remaining four games," Inzaghi told Sky Italia.
“We had taken the lead, we should've scored another rather than concede the avoidable Arnautovic header, because we know that anything can happen in football.
“I think we played a very good first half, with just one error on the Arnautovic goal. We created many chances and deserved a second goal.
“After the break, we were a bit too frenetic and that penalised us. Bologna barely ever went into our penalty area, then once that unfortunate incident occurred with the second goal, we lost our heads a bit. It's not too surprising, there is so much at stake, it really weighed on them."
Inzaghi added: “Radu played very well against Empoli, he always trains well, we all have the utmost faith in him. It was an unfortunate incident, but these things can happen and it wouldn't have been as damaging if we'd been 4-1 up rather than at 1-1.
“He should be reassured that Radu is an excellent goalkeeper with a bright future ahead of him."
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