x uchun yechish
x>12
Grafik
Baham ko'rish
Klipbordga nusxa olish
\frac{1}{4}x+3-\frac{2}{3}x<-2
Ikkala tarafdan \frac{2}{3}x ni ayirish.
-\frac{5}{12}x+3<-2
-\frac{5}{12}x ni olish uchun \frac{1}{4}x va -\frac{2}{3}x ni birlashtirish.
-\frac{5}{12}x<-2-3
Ikkala tarafdan 3 ni ayirish.
-\frac{5}{12}x<-5
-5 olish uchun -2 dan 3 ni ayirish.
x>-5\left(-\frac{12}{5}\right)
Ikki tarafini -\frac{12}{5} va teskari kasri -\frac{5}{12} ga ko‘paytiring. -\frac{5}{12} manfiy boʻlgani uchun tengsizlikning yo‘nalishi o‘zgaradi.
x>12
-5 ni -\frac{12}{5} marotabaga ko'paytirish.
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}