The antonyms for the word "more coequal" are "less equal" or "unequal." These terms refer to a state where one entity or individual is given more power, status, or preference than the other. Inequality can arise due to various factors such as differences in gender, race, social status, or economic background. The concept of inequality has been widely debated and challenged by diverse societies worldwide. Research shows that the existence of inequality can lead to a range of negative consequences, including poverty, discrimination, social tension, and violence. To promote greater equality, individuals and organizations can advocate for policies and practices that create a more level playing field for everyone.