If i were fascinated with the study of the health system in inner-city schools in america, and wanted to get a phd to study how elementary school students were taught about their bodies in ways that perpetuated patterns of inequality, i would be interested in what sub-discipline of anthropology?

Cultural anthropology.

Explanation:

It's cultural anthropology because you're interested in inequality patterns perpetuated by certain education, that's a cultural fact, it's not biological research, nor linguistic, nor archaeological.

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