Here are some possible answers to your questions:
1) According to Gelhorn, the only source of hope for the desperately poor whom she visited in North Carolina was **c) Labor union activism**. She wrote that the workers in the textile mills were exploited and oppressed by the owners, and that they needed to organize and demand better wages and conditions. She also encouraged them to break the windows of their factory in protest.
2) Gelhorn used the term "The Red Menace" to refer to **d) Communist threats**. She wrote that the government was afraid of the influence of communism among the poor and the workers, and that it used propaganda and intimidation to suppress any dissent. She also criticized the government for spending more money on defense than on relief.
3) According to Gelhorn, one of the main challenges that the government faced during the New Deal era was **b) The lack of adequate healthcare for the poor**. She wrote that many of the people she interviewed were suffering from malnutrition, tuberculosis, and other diseases, and that they had no access to doctors or medicine. She also wrote that the government's health programs were inadequate and inefficient.
4) According to Gelhorn, government inaction in the face of an emergency among the desperately poor could affect the future of the nation by **a) An entire segment of society will be utterly debilitated by disease and ignorance**. She wrote that the poor were living in "a state of hopeless misery" and that they had no chance of improving their lives or contributing to the society. She also wrote that the government had a moral obligation to help them, and that ignoring their plight would have grave consequences for the nation.
If this helps leave a thanks :)