Срочно!! Помогите
1) (x-3)^3<0
2) (x-1)^4*(x-3)<0
3) x+1/x>=0
4) 1/(x+3)^2>0
5) (x-1)*x^2>0
1) (x-3)^3<0
2) (x-1)^4*(x-3)<0
3) x+1/x>=0
4) 1/(x+3)^2>0
5) (x-1)*x^2>0
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Answers & Comments
x-3<0
x<3
x∈(-∞;3)
2) (x-1)^4*(x-3)<0
x=1 x=3
_ _ +
-----------(1)----------------(3)--------------
x∈(-∞;1) U (1;3)
3) x+1/x>=0
x=-1 x=0
+ _ +
-----------[-1]-----------------(0)-----------
x∈(-∞;-1] U (0;∞)
4) 1/(x+3)^2>0
x∈(-∞;-3) U (-3;∞)
5) (x-1)*x^2>0
x=1 x=0
_ _ +
-------(0)---------------(1)------------
x∈(1;∞)