x-11/4<-x+22/7 eching

$$\frac { x - 11 } { 4 } < - \frac { x + 22 } { 7 }$$

x uchun yechish

$$x<-1$$

Yechim qadamlari

Tenglamaning ikkala tarafini 28 ga, 4,7 ning eng kichik karralisiga ko‘paytiring. 28 musbat bo‘lgani uchun, tengsizlik yo‘nalishi o‘zgarmaydi.

$$7\left(x-11\right)<-4\left(x+22\right)$$

7 ga x-11 ni ko'paytirish orqali distributiv xususiyatdan foydalanish.

$$7x-77<-4\left(x+22\right)$$

-4 ga x+22 ni ko'paytirish orqali distributiv xususiyatdan foydalanish.

$$7x-77<-4x-88$$

4x ni ikki tarafga qo’shing.

$$7x-77+4x<-88$$

11x ni olish uchun 7x va 4x ni birlashtirish.

$$11x-77<-88$$

77 ni ikki tarafga qo’shing.

$$11x<-88+77$$

-11 olish uchun -88 va 77'ni qo'shing.

$$11x<-11$$

Ikki tarafini 11 ga bo‘ling. 11 musbat bo‘lgani uchun, tengsizlik yo‘nalishi o‘zgarmaydi.

$$x<\frac{-11}{11}$$

-1 ni olish uchun -11 ni 11 ga bo‘ling.

$$x<-1$$