b uchun yechish
b\geq -\frac{34}{3}
Baham ko'rish
Klipbordga nusxa olish
30b+53-18b\geq -83
Ikkala tarafdan 18b ni ayirish.
12b+53\geq -83
12b ni olish uchun 30b va -18b ni birlashtirish.
12b\geq -83-53
Ikkala tarafdan 53 ni ayirish.
12b\geq -136
-136 olish uchun -83 dan 53 ni ayirish.
b\geq \frac{-136}{12}
Ikki tarafini 12 ga bo‘ling. 12 musbat bo‘lgani uchun, tengsizlik yo‘nalishi o‘zgarmaydi.
b\geq -\frac{34}{3}
\frac{-136}{12} ulushini 4 ni chiqarib, bekor qilish hisobiga eng past shartlarga kamaytiring.
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}