Final answer:
During a sustained economic expansion, the number of discouraged workers is likely to decrease rather than increase.
Step-by-step explanation:
During a sustained economic expansion, the number of discouraged workers is likely to decrease rather than increase. This is because a sustained economic expansion usually leads to increased job opportunities, which can motivate discouraged workers to re-enter the labor force and actively search for employment. As a result, the number of discouraged workers would decline. Therefore, the statement that the number of discouraged workers is likely to increase during a sustained economic expansion is false.