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

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

x uchun yechish

$$x<\frac{13}{5}$$

Yechim qadamlari

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

$$2x-8+1<3\left(2-x\right)$$

-7 olish uchun -8 va 1'ni qo'shing.

$$2x-7<3\left(2-x\right)$$

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

$$2x-7<6-3x$$

3x ni ikki tarafga qo’shing.

$$2x-7+3x<6$$

5x ni olish uchun 2x va 3x ni birlashtirish.

$$5x-7<6$$

7 ni ikki tarafga qo’shing.

$$5x<6+7$$

13 olish uchun 6 va 7'ni qo'shing.

$$5x<13$$

Ikki tarafini 5 ga bo‘ling. 5 musbat bo‘lgani uchun, tengsizlik yo‘nalishi o‘zgarmaydi.

$$x<\frac{13}{5}$$