Determine the key distinctions between the Plessy v. Ferguson and Brown v. Board of Education rulings and the effects of segregation on public education.

Determine the key distinctions between the Plessy v. Ferguson and Brown v. Board of Education rulings and the effects of segregation on public education. Also, propose one (1) challenge that might exist today related to the cases mentioned and one (1) manner in which these cases are still relevant.