1.
x²-x>0
x(x-1)>0
x=0 ∨ x=1
x∈(-∞,0)u(1,∞)
2.
2x+x²<0
x(2+x)<0
x=0 ∨ x=-2
x∈(-2,0)
3.
x²-3x>0
x(x-3)>0
x=0 ∨ x=3
x∈(-∞,0)u(3,∞)
4.
5x+x²<0
x(5+x)<0
x=0 ∨ x=-5
x∈(-5,0)
5.
x²-4>0
x²>4
x>2 ∨ x<-2
x∈(-∞,-2)u(2,∞)
6.
x(x²-9)<0
x(x-3)(x+3)<0
x=0 ∨ x=3 ∨ x=-3
x∈(-∞,-3)u(0,3)
1.
x²-x>0
x(x-1)>0
x=0 ∨ x=1
x∈(-∞,0)u(1,∞)
2.
2x+x²<0
x(2+x)<0
x=0 ∨ x=-2
x∈(-2,0)
3.
x²-3x>0
x(x-3)>0
x=0 ∨ x=3
x∈(-∞,0)u(3,∞)
4.
5x+x²<0
x(5+x)<0
x=0 ∨ x=-5
x∈(-5,0)
5.
x²-4>0
x²>4
x>2 ∨ x<-2
x∈(-∞,-2)u(2,∞)
6.
x(x²-9)<0
x(x-3)(x+3)<0
x=0 ∨ x=3 ∨ x=-3
x∈(-∞,-3)u(0,3)