South Carolina seems like a serious race; Minnesota may not be; and Florida still appears out of reach for Democrats.

© Jillian Vordick/The New York Times

Senator Darline Graham, the South Carolina Republican, is struggling to replicate her late brother’s success. Republicans lead in the Florida Senate race and Democrats are up in Minnesota.

© Jillian Vordick/The New York Times

Hope, dread and the final stretch to Election Day.

© The New York Times

President Donald Trump will visit South Carolina on Wednesday to boost Graham, whose stumbles in her first campaign since replacing her late brother have Democratic voters hopeful — but not necessarily optimistic — that their candidate can break Republicans' grip on the state.