During the 19th and 20th centuries, women's roles in Europe and the United States were varied, and the statements you've provided reflect different aspects of those roles. Here's an analysis of each statement:
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Upper class women were not allowed to work outside of the home. - While upper-class women were often expected to focus on domestic responsibilities and social duties rather than formal employment, this was not an absolute rule. Some engaged in charitable work, art, or writing, and particularly in the late 19th and early 20th centuries, some began to pursue careers, albeit in limited fields.
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Both poor and upper class women worked in factories. - This statement is somewhat misleading. Poor women, particularly in urban areas during the industrial revolution, often had to work in factories to support themselves and their families. Upper-class women generally did not work in factories and were more likely to engage in social activities or volunteer work.
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Poor women and upper class women worked outside of the home. - This statement is partially true. Poor women typically worked outside the home out of necessity, often in factories, domestic service, or agriculture. Upper-class women were less likely to have formal jobs outside the home, but they might engage in social work, education, or other activities depending on the socio-economic context.
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Poor women never left the home to work. - This statement is false. Poor women often had to leave home to seek employment in various sectors, especially in factories or as domestic workers.
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Upper class women often worked in mills. - This statement is false. Upper-class women did not typically work in mills; such work was predominantly done by poorer women and children during the industrial era.
In summary, the roles of women in the 19th and 20th centuries were complex and varied by class, with poor women often needing to work outside the home while upper-class women were generally restrained from factory work and focused on domestic roles and social responsibilities.