已知集合A={xx2-2x-3>0},則集合Z∩∁RA中元素個數為(  ) A. 5B. 4C. 3D. 2

已知集合A={xx2-2x-3>0},則集合Z∩∁RA中元素個數為(  ) A. 5B. 4C. 3D. 2

A={xx2-2x-3>0}={xx>3或x<-1},∴∁RA={x-1≤x≤3},則Z∩∁RA={-1,0,1,2,3},共有5個元素,故選:A.