Inman was born in Indianapolis, Indiana and is the eldest of six children. He attended Wake Forest University in Winston-Salem, North Carolina and was a distinguished member of the golf team – a three-time All-American (first-team his senior year). He graduated in 1970 and turned pro in 1972 shortly after marrying Nancy Craig of Columbia, South Carolina.
Inman played on the PGA Tour from 1974–1986. He won one event during this phase of his career, the 1976 Kemper Open. His best finish in a major was T-9 at The Masters in 1978. After he retired from the PGA Tour, he worked as a sales representative for Ping from 1989–1997; he became eligible for the Champions Tour upon reaching the age of 50 in November 1997.
Inman had spent his regular PGA Tour years largely toiling in relative obscurity, but immediately became one of the stars on the Champions Tour by winning the 1998 Pacific Bell Senior Classic in his first year. He won the event three years in a row (it was called the SBC Classic the third year), and became only the 5th player in Champions Tour history to three-peat an event. He won the 1998 Senior Tour Rookie of the Year award. Inman has over 4.2 million dollars in Champions Tour career earnings.
Inman lives in Marietta, Georgia with his wife Nancy. They have three children: Joseph Craig, Sally Anne, and Katherine Craig, each of whom attend or have attended Wake Forest. His younger brother, John, was a two-time winner on the PGA Tour and 1984 NCAA Champion.