Final answer:
Millennials, or Gen Y, are the generation that most likely believes that work and family cannot meet, as they experience economic challenges and shifts in societal norms that influence their approach to work-life balance.
Step-by-step explanation:
The question asks which generation believes that work and family cannot meet. Based on the given texts, it's apparent that Millennials (also known as Gen Y) are experiencing significant shifts in traditional life milestones compared to previous generations such as baby boomers and Gen X. This is due to a variety of factors, such as economic challenges and changing societal norms, which are impacting their attitudes towards work, family, and the balancing of both.
Millennials are known for valuing life outside of work to a greater degree and may resist traditional career paths in favor of a more balanced approach to work and family life. This is contrasted with baby boomers who typically followed a more traditional work and family structure. Therefore, the generation most likely to believe that work and family cannot meet is Millennials (option c).