2(3x+5)<4(x-1) eching

$$2 ( 3 x + 5 ) < 4 ( x - 1 )$$

x uchun yechish

$$x<-7$$

Yechim qadamlari

2 ga 3x+5 ni ko'paytirish orqali distributiv xususiyatdan foydalanish.

$$6x+10<4\left(x-1\right)$$

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

$$6x+10<4x-4$$

Ikkala tarafdan 4x ni ayirish.

$$6x+10-4x<-4$$

2x ni olish uchun 6x va -4x ni birlashtirish.

$$2x+10<-4$$

Ikkala tarafdan 10 ni ayirish.

$$2x<-4-10$$

-14 olish uchun -4 dan 10 ni ayirish.

$$2x<-14$$

Ikki tarafini 2 ga bo‘ling. 2 musbat bo‘lgani uchun, tengsizlik yo‘nalishi o‘zgarmaydi.

$$x<\frac{-14}{2}$$

-7 ni olish uchun -14 ni 2 ga bo‘ling.

$$x<-7$$