Desigualdades de division

Desigualdades de división

1. (x-3)(x+2)x-1˂0

x-3x+2(x-1) ˂0(x-1)+ - +
x-3=0 12=0 -∞ -2 3 ∞
x₁=3x₂=-2
(-2,3) {xer|-2<x<3}


2. x+5x²≥0
X+5=0
x²-4=0 + - +
x=4-∞ -5 2 ∞
x₁=-5
x₂=2(-∞,-5] [2,∞) {xer|-∞<x≤-5;2≤x<∞}



3. x+4x-2≤0
x+4-1x-2≤0 + - +
x+3=0 -∞-3 2 ∞
x-2=2
[-3,2] {xer|-3≤x≤2}


4. x2x-4≥0x+2-1x-2 + - +
-∞ -1 4 ∞x=-1
x=4 (-∞,-1) u [4,∞) {xer|-∞<x<-1;4≤x<∞}

5. 2x-1x+5>2
2x-1-2x-10x+5>0
-11x+5>0x+5=0 + -
X=-5 -∞-5 ∞
(-∞,-5) {xer|-∞<x<-5}
6. x2+2x+3≥x
x2 +2x+3-x≥0...