30x/100+12/100(600)>15/100(x+600) eching

$$\frac { 30 x } { 100 } + \frac { 12 } { 100 } ( 600 ) > \frac { 15 } { 100 } ( x + 600 )$$

x uchun yechish

$$x>120$$

Yechim qadamlari

Tenglamaning ikkala tarafini 100 ga ko'paytirish. 100 musbat bo‘lgani uchun, tengsizlik yo‘nalishi o‘zgarmaydi.

$$30x+12\times 600>15\left(x+600\right)$$

7200 hosil qilish uchun 12 va 600 ni ko'paytirish.

$$30x+7200>15\left(x+600\right)$$

15 ga x+600 ni ko'paytirish orqali distributiv xususiyatdan foydalanish.

$$30x+7200>15x+9000$$

Ikkala tarafdan 15x ni ayirish.

$$30x+7200-15x>9000$$

15x ni olish uchun 30x va -15x ni birlashtirish.

$$15x+7200>9000$$

Ikkala tarafdan 7200 ni ayirish.

$$15x>9000-7200$$

1800 olish uchun 9000 dan 7200 ni ayirish.

$$15x>1800$$

Ikki tarafini 15 ga bo‘ling. 15 musbat bo‘lgani uchun, tengsizlik yo‘nalishi o‘zgarmaydi.

$$x>\frac{1800}{15}$$

120 ni olish uchun 1800 ni 15 ga bo‘ling.

$$x>120$$