This question is poor, or you left something out.
Does he question specifically say all of these are in aqueous conditions? If so, it might not be such a poor question.
But the reaction is better written as:
LiOH(s) + H2O -> LiOH . H2O (s)
2 LiOH . H2O (s) + CO2 ->Li2CO3 (s) + 3 H2O
Do you know what carbon dioxide and water give you?
And yes, you can write water was H2O or HOH whenever you so please, it is just a written way to represent water.