 " Bye Bye " was announced as the second single from the album on April 15 , 2008 . The song received generally positive reviews from music critics , and was heavily speculated to have become her 19th number @-@ one single on the Billboard Hot 100 . Many reviewers complimented its simple and understated musical arrangement and personalized lyrics , while some felt the song was too simple for an artist of Carey 's stature . The track only managed to reach a peak position of number nineteen on the Billboard Hot 100 . Throughout other countries where it found release , the song achieved relatively weak charting , peaking within the top ten in New Zealand , and in the top @-@ fifty in Canada , Ireland , Slovakia , and the United Kingdom . The song 's accompanying music video was directed by Justin Francis on the island of Antigua in the Caribbean . Notably , Carey and Cannon began dating during their trip to the island , and later wed on April 30 , 2008 . The video features behind @-@ the @-@ scenes footage of the couple , Carey promoting the album in the United Kingdom , as well as photos of several of Carey 's close friends , family and past collaborators such as Luciano Pavarotti and Luther Vandross . 
