Are the bands Hole and Cage9 both American alternative rock bands?
yes
Title: Cage9
Passage: Cage9 is a Panamanian/American alternative rock band, formed in Panama City in 1993.  The group was founded by Evan Rodaniche (guitar/vocals) and is currently based out of Los Angeles, California.
Title: Hole (band)
Passage: Hole was an American alternative rock band that formed in Los Angeles, California in 1989 by singer and guitarist Courtney Love and lead guitarist Eric Erlandson.  The band had a revolving line-up of bassists and drummers, their most prolific being drummer Patty Schemel, and bassists Kristen Pfaff (d. 1994) and Melissa Auf der Maur.
Title: List of Pixies tribute albums
Passage: A number of tribute albums to the Pixies, an American alternative rock band, have been recorded since the band's break-up in 1993.  Artists featured on the albums range from American rock bands, such as Weezer, OK Go and Eve 6, to lesser-known European bands.  The first widely released Pixies tribute album, "Death to the Pixies—We're Better!" , was released in February 1998 as the result of a Pixies cover contest in the Netherlands that was launched by the magazine Oor, the radio station VPRO and the record label Play It Again Sam.
Hole (band) Cage9