问题
选择题
命题“∃(x,y),x,y∈R,2x+3y+3<0”的否定是( )
A.∃(x,y),x,y∈R,2x+3y+3>0
B.∃(x,y),x,y∈R,2x+3y+3≥0
C.∀(x,y),x,y∈R,2x+3y+3≥0
D.∀(x,y),x,y∈R,2x+3y+3>0
答案
答案:C
(x,y)的否定是(x,y),2x+3y+3<0的否定是2x+3y+3≥0,故选C.
命题“∃(x,y),x,y∈R,2x+3y+3<0”的否定是( )
A.∃(x,y),x,y∈R,2x+3y+3>0
B.∃(x,y),x,y∈R,2x+3y+3≥0
C.∀(x,y),x,y∈R,2x+3y+3≥0
D.∀(x,y),x,y∈R,2x+3y+3>0
答案:C
(x,y)的否定是(x,y),2x+3y+3<0的否定是2x+3y+3≥0,故选C.