a) 15 - 3(1-x) < 2 + 7x
15 - 3 + 3x <2 + 7x
4x > 10
x > 2.5
б) -x^2 + 3x -2 <0
-x^2 +3x - 2 = 0
D = (9 - 8) = 1
x1,2 = (-3 +- 1) /2
x1 = -1 ; x2 = -2
(x +1) (x+2) <0
x+1> 0 x+1 <0
x+1<0 x+1> 0
нет x< -1
корней x>-2
ответ: (-2; -1)
a) 15 - 3(1-x) < 2 + 7x
15 - 3 + 3x <2 + 7x
4x > 10
x > 2.5
б) -x^2 + 3x -2 <0
-x^2 +3x - 2 = 0
D = (9 - 8) = 1
x1,2 = (-3 +- 1) /2
x1 = -1 ; x2 = -2
(x +1) (x+2) <0
x+1> 0 x+1 <0
x+1<0 x+1> 0
нет x< -1
корней x>-2
ответ: (-2; -1)