A decrease in personal income taxes will always lead to a decrease in unemployment rates according to the Phillips Curve relationship.

The Phillips Curve shows the relationship between inflation and unemployment, suggesting that when inflation is low, unemployment tends to be high, and vice versa. However, a decrease in personal income taxes does not always guarantee a decrease in unemployment rates. While lower taxes can leave people with more money to spend, which may lead to job creation, other factors like economic conditions, business investments, and consumer confidence also play important roles. For example, if taxes are cut but businesses are still hesitant to invest due to uncertainty, unemployment may not decrease as expected. Therefore, while lower taxes can help, they are just one piece of a larger economic puzzle.