Final answer:
According to Erik Erikson, older people must struggle with overcoming despair to achieve integrity.
Step-by-step explanation:
According to Erik Erikson's developmental stages of life, the challenge that older people must struggle with is overcoming despair to achieve integrity. In late adulthood, individuals reflect on their lives and either feel a sense of satisfaction or a sense of failure. Those who feel proud of their accomplishments experience a sense of integrity, while those who are not successful may feel as if their life has been wasted and face the end of their lives with bitterness and despair.