-2(x-4)<5(x-1) eching

$$- 2 ( x - 4 ) < 5 ( x - 1 )$$

x uchun yechish

$$x>\frac{13}{7}$$

Yechim qadamlari

-2 ga x-4 ni ko'paytirish orqali distributiv xususiyatdan foydalanish.

$$-2x+8<5\left(x-1\right)$$

5 ga x-1 ni ko'paytirish orqali distributiv xususiyatdan foydalanish.

$$-2x+8<5x-5$$

Ikkala tarafdan 5x ni ayirish.

$$-2x+8-5x<-5$$

-7x ni olish uchun -2x va -5x ni birlashtirish.

$$-7x+8<-5$$

Ikkala tarafdan 8 ni ayirish.

$$-7x<-5-8$$

-13 olish uchun -5 dan 8 ni ayirish.

$$-7x<-13$$

Ikki tarafini -7 ga bo‘ling. -7 manfiy boʻlgani uchun tengsizlikning yo‘nalishi o‘zgaradi.

$$x>\frac{-13}{-7}$$

Ikkala surat va maxrajdan manfiy belgini olib tashlash bilan \frac{-13}{-7} kasrini \frac{13}{7} ga soddalashtirish mumkin.

$$x>\frac{13}{7}$$