It was the second hotel on the Strip, and operated from 1942 to 2007 without cease. Well, maybe a moment of silence was observed on Christmas, but only a moment. Wikipedia:

The property started as a nightclub called Pair-O-Dice that opened in 1930, then The Ambassador Night Club in 1936 and was renamed the 91 Club in 1939 for its location on US-91. It was subsequently rebuilt and renamed the "Hotel Last Frontier" in 1942. On April 4, 1955, it was renamed the New Frontier, following a modernization of the resort.

So this matchbook is is pre-55, then. The site is currently awaiting redevelopment.