字典翻译 问答 其它 命题p:∃x∈N,f(x)≥1或g(x)<0,则¬p()A.∃x∉N,f(x)<1或g(x)≥0B.∃x∈N,f(x)<1或g(x)≥0,C.∀x∈N,f(x)<1或g(x)≥0,D.∀x∈N,f(x)<1且g(x)≥0,
问题标题:
命题p:∃x∈N,f(x)≥1或g(x)<0,则¬p()A.∃x∉N,f(x)<1或g(x)≥0B.∃x∈N,f(x)<1或g(x)≥0,C.∀x∈N,f(x)<1或g(x)≥0,D.∀x∈N,f(x)<1且g(x)≥0,
问题描述:

命题p:∃x∈N,f(x)≥1或g(x)<0,则¬p()

A.∃x∉N,f(x)<1或g(x)≥0

B.∃x∈N,f(x)<1或g(x)≥0,

C.∀x∈N,f(x)<1或g(x)≥0,

D.∀x∈N,f(x)<1且g(x)≥0,

李卡麟回答:
  ∵“f(x)≥1或g(x)<0”的对立面是“f(x)<1且g(x)≥0”   ∴命题p:∃x∈N,f(x)≥1或g(x)<0的否定¬p是:∀x∈N,f(x)<1且g(x)≥0,   故选D
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