x uchun yechish
x>-\frac{38}{21}
Grafik
Baham ko'rish
Klipbordga nusxa olish
6x+8-5\left(x-9\right)>8\left(2x-6\right)-9\left(4x-7\right)
2 ga 3x+4 ni ko'paytirish orqali distributiv xususiyatdan foydalanish.
6x+8-5x+45>8\left(2x-6\right)-9\left(4x-7\right)
-5 ga x-9 ni ko'paytirish orqali distributiv xususiyatdan foydalanish.
x+8+45>8\left(2x-6\right)-9\left(4x-7\right)
x ni olish uchun 6x va -5x ni birlashtirish.
x+53>8\left(2x-6\right)-9\left(4x-7\right)
53 olish uchun 8 va 45'ni qo'shing.
x+53>16x-48-9\left(4x-7\right)
8 ga 2x-6 ni ko'paytirish orqali distributiv xususiyatdan foydalanish.
x+53>16x-48-36x+63
-9 ga 4x-7 ni ko'paytirish orqali distributiv xususiyatdan foydalanish.
x+53>-20x-48+63
-20x ni olish uchun 16x va -36x ni birlashtirish.
x+53>-20x+15
15 olish uchun -48 va 63'ni qo'shing.
x+53+20x>15
20x ni ikki tarafga qo’shing.
21x+53>15
21x ni olish uchun x va 20x ni birlashtirish.
21x>15-53
Ikkala tarafdan 53 ni ayirish.
21x>-38
-38 olish uchun 15 dan 53 ni ayirish.
x>-\frac{38}{21}
Ikki tarafini 21 ga bo‘ling. 21 musbat bo‘lgani uchun, tengsizlik yo‘nalishi o‘zgarmaydi.
Misollar
Ikkilik tenglama
{ x } ^ { 2 } - 4 x - 5 = 0
Trigonometriya
4 \sin \theta \cos \theta = 2 \sin \theta
Chiziqli tenglama
y = 3x + 4
Arifmetik
699 * 533
Matritsa
\left[ \begin{array} { l l } { 2 } & { 3 } \\ { 5 } & { 4 } \end{array} \right] \left[ \begin{array} { l l l } { 2 } & { 0 } & { 3 } \\ { -1 } & { 1 } & { 5 } \end{array} \right]
Simli tenglama
\left. \begin{cases} { 8x+2y = 46 } \\ { 7x+3y = 47 } \end{cases} \right.
Differensatsiya
\frac { d } { d x } \frac { ( 3 x ^ { 2 } - 2 ) } { ( x - 5 ) }
Oʻngga
\int _ { 0 } ^ { 1 } x e ^ { - x ^ { 2 } } d x
Chegaralar
\lim _{x \rightarrow-3} \frac{x^{2}-9}{x^{2}+2 x-3}