Final answer:
In Erik Erikson's developmental stages of life, older people must struggle with overcoming despair to achieve integrity.
Step-by-step explanation:
The challenge that older people must struggle with in Erik Erikson's developmental stages of life is overcoming despair to achieve integrity. In the final stage of late adulthood, individuals reflect on their lives and can either feel a sense of satisfaction or a sense of failure. Those who feel proud of their accomplishments and have few regrets can achieve a strong sense of integrity and embrace the new phase of life. On the other hand, those who are not successful may face the end of their lives with feelings of bitterness, depression, and despair.