How many households subscribe to none of the newspapers if the number of households that subscribe to all three newspapers equals those that subscribe to none?

To determine how many households subscribe to none of the newspapers, we can use the relationship between those who subscribe to all three newspapers and those who subscribe to none.

Given that the number of households that subscribe to all three newspapers is equal to the number of households that subscribe to none, we can let ( x ) represent the number of households that subscribe to all three newspapers. Therefore, the number of households that subscribe to none can also be represented as ( x ).

If we've identified that there are 6 households that subscribe to all three newspapers, it follows from the information provided that there are also 6 households that do not subscribe to any of the newspapers.

This leads us to conclude that the answer is indeed 6 households that subscribe to none of the newspapers. This aligns perfectly with the requirement of the question, establishing a clear and logical connection between the quantities of interest.