Raised in Toronto, Ontario, Inglis is a graduate of Humber College. He began broadcasting in the early 1980s at CKAR in Oshawa, Ontario, providing play-by-play for the NASL's Toronto Blizzard. In 1987, he was briefly the radio play-by-play voice of the Indiana Pacers. He stayed in Indiana for a few more years, and served as the radio color commentator of the NFL's Indianapolis Colts from 1990–1991, alongside Bob Lamey.
In 1995, he became the first radio play-by-play man in Toronto Raptors history, broadcasting on CFRB 1010 alongside Paul Jones. After the 1997–98 season, the Raptors' radio rights were shifted to the Fan 590, and Inglis was subsequently hired by the Miami Heat in 1998. He has been the radio voice of the Heat since then.