8(x+10)-9<75+10(1+x) eching

$$8 ( x + 10 ) - 9 < 75 + 10 ( 1 + x )$$

x uchun yechish

$$x>-7$$

Yechim qadamlari

8 ga x+10 ni ko'paytirish orqali distributiv xususiyatdan foydalanish.

$$8x+80-9<75+10\left(1+x\right)$$

71 olish uchun 80 dan 9 ni ayirish.

$$8x+71<75+10\left(1+x\right)$$

10 ga 1+x ni ko'paytirish orqali distributiv xususiyatdan foydalanish.

$$8x+71<75+10+10x$$

85 olish uchun 75 va 10'ni qo'shing.

$$8x+71<85+10x$$

Ikkala tarafdan 10x ni ayirish.

$$8x+71-10x<85$$

-2x ni olish uchun 8x va -10x ni birlashtirish.

$$-2x+71<85$$

Ikkala tarafdan 71 ni ayirish.

$$-2x<85-71$$

14 olish uchun 85 dan 71 ni ayirish.

$$-2x<14$$

Ikki tarafini -2 ga bo‘ling. -2 <0 bo‘lganda, tengsizlikning yo‘nalishi o‘zgargan bo‘ladi.

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

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

$$x>-7$$