Question

已知集合A={x|x²-3x+2=0,x∈R},B={x|0<x<5,x∈N},则满足条件A⊆C⊆B的集合C的个数为(　　)

A．1

B．2

C．3

D．4

Answer 1

D

A={x|x²-3x+2=0,x∈R}={x|(x-1)(x-2)=0,x∈R}={1,2},而B={1,2,3,4},又∵A⊆C⊆B,∴C={1,2},{1,2,3},{1,2,4},{1,2,3,4},共4个.故选D.