12/100600+300x/100>15/100left(600+xright) eching

$$\frac{ 12 }{ 100 } 600+ \frac{ 300x }{ 100 } > \frac{ 15 }{ 100 } \left( 600+x \right)$$

x uchun yechish

$$x>\frac{120}{19}$$

Yechim qadamlari

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

$$12\times 600+300x>15\left(600+x\right)$$

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

$$7200+300x>15\left(600+x\right)$$

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

$$7200+300x>9000+15x$$

Ikkala tarafdan 15x ni ayirish.

$$7200+300x-15x>9000$$

285x ni olish uchun 300x va -15x ni birlashtirish.

$$7200+285x>9000$$

Ikkala tarafdan 7200 ni ayirish.

$$285x>9000-7200$$

1800 olish uchun 9000 dan 7200 ni ayirish.

$$285x>1800$$

Ikki tarafini 285 ga bo‘ling. 285 musbat bo‘lgani uchun, tengsizlik yo‘nalishi o‘zgarmaydi.

$$x>\frac{1800}{285}$$

\frac{1800}{285} ulushini 15 ni chiqarib, bekor qilish hisobiga eng past shartlarga kamaytiring.

$$x>\frac{120}{19}$$