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(1;3 )
(5; +∞)

(-∞; 1)
(2;4)

(x²+x) (5x+5) <0
x(x+1) 5(x+1) <0
5x(x+1)²<0
x=0
x=-1

(-∞; -1) U ( -1; 0)

(3x+12)(2x+10)(x^2-2x)>0
3(x+4)2 (x+5) x(x-2)>0
6x(x+4)(x+5)(x-2)>0
0
-4
-5
2
(-∞; -5) U (-4;0) U (2; +∞)

(6×2-12x)(x+4)<0
6x(x-2)(x+4)<0
-4
0
2
(-∞;-4) U (0;2)

(2×2-16x)(4x+4)(7x-21)>0
56x(x-8)(x+4)(x-3)
-4
0
3
8

x2-3x+2=0
D=9-8=1
3+V1/2=2
3-1/2=2/2=1

(1;2)U(3; +∞)

x=2

x2-x-12=0
1+48=49
1+7/2= 4
1-7/2 = -3

(-3;2) U (4; +∞)


(x^2-3x-4)(x^2+x-12)

9+16=25

3+5/2=4
3-5/2=-1

1+48=49
-1+7/2= 3
-1-7/2 = -4
-4 -1 3 4 < )

(-4; -1) U (3;4)

(x2-5x-6)(x2+2x-15)>0
25+24=49
5+7/2=6
5-7/2=-1

4+60=64
-2+8/2= 3
-2-8/2=-5
(x-6)(x+1)(x-3)(x+5)>0

(-∞;5)U(-1;3)U(6;+∞)

(x^2-16)(x^2-x-2)(x+2)>0
(x-4)(x+4)
x^2 – x – 2
1+8=9
1+3/2=2
1-3/2=-1
(x-4)(x+4)(x-2)(x+1)(x+2) >0
-4, -2, -1, 2, 4
(-4; -2) U ( -1; 2) U ( 4; +∞)


(4+x)(9-x^2)(x^2-2x+1)>0

(x+4)(3-x)(x+3)(x-1)^2

-4, -3, 1, 1, 3


(-∞; -4)U(-3;1)U(1;3)

(3x-1)(3x-1)(3x-1)(x+1)>0
1/3 -1
(-∞; -1)U( 1/3; +∞)

-x^2+6x-10=0
36-40-= – 4
x^2-5x+6
25-24= 1

5+1/2=3
5-1/2=2



-x^2+6x-10=0
36-40-= – 4
x^2-5x+6
25-24= 1

5+1/2=3
5-1/2=2

(-1) (x-3)(x-2)(x-2)
(-∞;2)(2;3)