已知全集U={x丨x² - 3x + 2 ≥ 0},A={x丨(x-1)(3-x)<0},则CuA=A{x丨1<x<2} B {x丨1 ≤ x ≤ 2}C {x丨2 ≤ x ≤ 3} D {x丨2 ≤ x ≤ 3或x = 1}
问题描述:
已知全集U={x丨x² - 3x + 2 ≥ 0},A={x丨(x-1)(3-x)<0},则CuA=
A{x丨1<x<2} B {x丨1 ≤ x ≤ 2}C {x丨2 ≤ x ≤ 3} D {x丨2 ≤ x ≤ 3或x = 1}
答
已知全集U={x丨x² - 3x + 2 ≥ 0},
(x-1)(x-2)≥0
x≤1或x≥2
A={x丨(x-1)(3-x)<0},
(x-1)(x-3)>0
x3
所以
则CuA={x|2≤x≤3,或x=1} 注意包括x=1
所以 选D