问题
填空题
命题“∀x∈R,有x2+1≥x”的否定是______.
答案
∵原命题“∀x∈R,有x2+1≥x”
∴命题“∀x∈R,有x2+1≥x”的否定是:
∃x∈R,使x2+1<x.
故答案为:∃x∈R,使x2+1<x.
命题“∀x∈R,有x2+1≥x”的否定是______.
∵原命题“∀x∈R,有x2+1≥x”
∴命题“∀x∈R,有x2+1≥x”的否定是:
∃x∈R,使x2+1<x.
故答案为:∃x∈R,使x2+1<x.