If Thompson appeals to moderates, his most ardent supporters will desert him and he will not have enough votes to win the election  However, if he does not appeal to moderates, these moderates will vote for his opponent and he will not have enough votes to win the election
Either way, Thompson is bound to lose the election
If the city council approves a small increase in property taxes, there will be enough money to restore the city swimming pools in Rice Park. If the city council approves a large increase in property taxes, there will be enough money to restore the city swimming pools and build a recreational center in Rice Park. Either way, the city will make progress in improving the facilities in Rice Park.