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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