District 6 is in Spartanburg County. The website for the district 6 schools is http://www.spartanburg6.k12.sc.us/index.php. Although part of Greer is in Spartanburg County, it is not geographically close to where the district 6 school district is. Greer sits almost due west of Spartanburg and the district 6 schools are to the south/southeast of Spartanburg along I-26.
I hope this helps. If I can be of further help, please feel free to contact me anytime at 864-363-8592.
Steve Bright, Realtor, GRI, ABR
Keller Williams Realty