x/100*05+(3600-x)div200*12<40 eching

$$\frac{ x }{ 100 } \times 05+(3600-x) \div 200 \times 12 < 40$$

x uchun yechish

$$x>\frac{8800}{3}$$

Yechim qadamlari

Tenglamaning ikkala tarafini 200 ga, 100,200 ning eng kichik karralisiga ko‘paytiring. 200 musbat bo‘lgani uchun, tengsizlik yo‘nalishi o‘zgarmaydi.

$$2x\times 0\times 5+\left(3600-x\right)\times 12<8000$$

0 hosil qilish uchun 2 va 0 ni ko'paytirish.

$$0x\times 5+\left(3600-x\right)\times 12<8000$$

0 hosil qilish uchun 0 va 5 ni ko'paytirish.

$$0x+\left(3600-x\right)\times 12<8000$$

Har qanday sonni nolga ko‘paytirsangiz, nol chiqadi.

$$0+\left(3600-x\right)\times 12<8000$$

3600-x ga 12 ni ko'paytirish orqali distributiv xususiyatdan foydalanish.

$$0+43200-12x<8000$$

43200 olish uchun 0 va 43200'ni qo'shing.

$$43200-12x<8000$$

Ikkala tarafdan 43200 ni ayirish.

$$-12x<8000-43200$$

-35200 olish uchun 8000 dan 43200 ni ayirish.

$$-12x<-35200$$

Ikki tarafini -12 ga bo‘ling. -12 manfiy boʻlgani uchun tengsizlikning yo‘nalishi o‘zgaradi.

$$x>\frac{-35200}{-12}$$

\frac{-35200}{-12} ulushini -4 ni chiqarib, bekor qilish hisobiga eng past shartlarga kamaytiring.

$$x>\frac{8800}{3}$$