-5x+2/3>-1/2x-1 eching

$$- 5 x + \frac { 2 } { 3 } > - \frac { 1 } { 2 } x - 1$$

x uchun yechish

$$x<\frac{10}{27}$$

Yechim qadamlari

\frac{1}{2}x ni ikki tarafga qo’shing.

$$-5x+\frac{2}{3}+\frac{1}{2}x>-1$$

-\frac{9}{2}x ni olish uchun -5x va \frac{1}{2}x ni birlashtirish.

$$-\frac{9}{2}x+\frac{2}{3}>-1$$

Ikkala tarafdan \frac{2}{3} ni ayirish.

$$-\frac{9}{2}x>-1-\frac{2}{3}$$

-1 ni -\frac{3}{3} kasrga o‘giring.

$$-\frac{9}{2}x>-\frac{3}{3}-\frac{2}{3}$$

-\frac{3}{3} va \frac{2}{3} da bir xil maxraji bor, ularning suratini ayirish orqali ayiring.

$$-\frac{9}{2}x>\frac{-3-2}{3}$$

-5 olish uchun -3 dan 2 ni ayirish.

$$-\frac{9}{2}x>-\frac{5}{3}$$

Ikki tarafini -\frac{2}{9} va teskari kasri -\frac{9}{2} ga ko‘paytiring. -\frac{9}{2} manfiy boʻlgani uchun tengsizlikning yo‘nalishi o‘zgaradi.

$$x<-\frac{5}{3}\left(-\frac{2}{9}\right)$$

Suratni maxrajga va maxrajini suratga ko‘paytirish orqali -\frac{5}{3} ni -\frac{2}{9} ga ko‘paytiring.

$$x<\frac{-5\left(-2\right)}{3\times 9}$$

\frac{-5\left(-2\right)}{3\times 9} kasridagi ko‘paytirishlarni bajaring.

$$x<\frac{10}{27}$$