The problem requires you to make a lot of assumptions and I don't see how your answers can be counted wrong simply for making the wrong assumptions.
One mistake I see however is calculating the voltage divider input at +10 V. You must be assuming that the bottom of the divider is at zero volts instead of -15 V.
You're right that they don't give the voltages applied to the opamp but +/- 15 V is not an unreasonable value so let's assume that that is what it is. Another assumption you have to make is that ground is at zero volts. It almost always is but it doesn't have to be.