How was john sibley able to continue georgia's segregation without violating the federal law of brown vs. board of education?

The U.S. Supreme Court issued its second decision in the case of Brown v. Board of Education. The first decision in 1954 had declared that the “separate but equal” doctrine for public education violated the U.S. Constitution's 14th Amendment but was silent on how quickly a remedy must take effect.

The Supreme Court came up with a second and final decision for the case. They declared the first case was unconstitutional under the 14th amendment because they said the doctor was separate but equal. Hope this helps! :)