已知全集合S={x∈N+|-2<x<9},M={3,4,5},P={1,3,6},那么{2,7,8}是(  ) A.M∪P B.M∩P C.(∁SM)∪(∁SP) D.(∁SM)∩(∁SP)

问题描述:

已知全集合S={x∈N+|-2<x<9},M={3,4,5},P={1,3,6},那么{2,7,8}是(  )
A. M∪P
B. M∩P
C. (∁SM)∪(∁SP)
D. (∁SM)∩(∁SP)

∵全集S={1,2,3,4,5,6,7,8},M={3,4,5},P={1,3,6},
∴∁SM={1,2,6,7,8},∁SP={2,4,5,7,8},M∪P={1,3,4,5,6},M∩P={3},
则(∁SM)∪(∁SP)={1,2,4,5,6,7,8};(∁SM)∩(∁SP)={2,7,8},
故选:D.