x uchun yechish
x<\frac{3}{5}
Grafik
Baham ko'rish
Klipbordga nusxa olish
16x-9+x<2-\frac{4}{3}x
-9 olish uchun -4 dan 5 ni ayirish.
17x-9<2-\frac{4}{3}x
17x ni olish uchun 16x va x ni birlashtirish.
17x-9+\frac{4}{3}x<2
\frac{4}{3}x ni ikki tarafga qo’shing.
\frac{55}{3}x-9<2
\frac{55}{3}x ni olish uchun 17x va \frac{4}{3}x ni birlashtirish.
\frac{55}{3}x<2+9
9 ni ikki tarafga qo’shing.
\frac{55}{3}x<11
11 olish uchun 2 va 9'ni qo'shing.
x<11\times \frac{3}{55}
Ikki tarafini \frac{3}{55} va teskari kasri \frac{55}{3} ga ko‘paytiring. \frac{55}{3} musbat bo‘lgani uchun, tengsizlik yo‘nalishi o‘zgarmaydi.
x<\frac{11\times 3}{55}
11\times \frac{3}{55} ni yagona kasrga aylantiring.
x<\frac{33}{55}
33 hosil qilish uchun 11 va 3 ni ko'paytirish.
x<\frac{3}{5}
\frac{33}{55} ulushini 11 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}