Сызықтық теңсіздіктерді шешіңдер:
3x + 2 < 7x – 4
2 – 3(1 – x ) < x + 1,8
3x + 6 > 0
5x – 15 < 0
3 –x > 2 + 4x
3,6 – 5x < 2x + 17,6
9 – 4x > 25
5x – 3 3x – 7
6 - 0,6x 1, 4x
–3x > - 9
x – 4 > 0
- 1
x – 2 x – 8
3x – 1 < + 2
2x – 3 < + 1
x x + 1
x – 5 <
> x
0
< x
Квадраттық теңсіздіктер
x2 + x + 1 -1 – 4x – x2
-x - 5x + 6 0
4x2 – 16x < 0
x2 < 36
x2 + 5x + 4 < 0
x x2 – 2
5x2 + 9x – 2 < 0
21x2 + 39x – 6 < 0
x2 – x – 6 < 0
81 – x2 < 0
3x2 – 18x < 0
3x - x2 – 4 < 0
Интервалдар әдісімен теңсіздіктерді шешу
( x - 6)( x + 4) 0
- ( 3x - 2)( 2x - 3) > 0
(2x - 3)(x+5) < 0
( x + 2)( x + 1 )( x – 1 )(x - 3) < 0
( x – 4 )( x + 4 ) 0
( x – 3 )( x + 4) 0
( x2 – 4 )( x + 7) 0
( x - 1)( x - 3) > 0
(x - 1)(x – 2 )(x + 4) 0