You are already given an example of how to write the dissolution reaction equations. The formula of the compound reflects how many moles of ions are present when the substance ionizes if the substance is soluble. Another good to to reflect on is how the formula of the compound was obtained and if these compounds are soluble or not...
LiNO3 (s) is made up of Li ion and the nitrate ion (polyatomic ion). It is a soluble salt so following the example given above the answer would be LiNO3 (s) → Li + (aq) + NO3 ‾ (aq)
You should be able to identify the cations and the anions!
Remember if you have a formula with a polyatomic ion, it stays intact and also if the formula has the ion in parenthesis, it indicates how many of the ions are involved in the formula. For formulas such as CaCl2 , the 2 indicates that there are 2 moles of Cl ‾ ions present
I suggest you review the information mentioned above and hope this helps!