12(x+5)div31leq4div5 eching

$$12(x+5) \div 31 \leq 4 \div 5$$

x uchun yechish

$$x\leq -\frac{44}{15}$$

Yechim qadamlari

Ikkala tarafini 31 ga ko‘paytiring. 31 musbat bo‘lgani uchun, tengsizlik yo‘nalishi o‘zgarmaydi.

$$12\left(x+5\right)\leq \frac{4}{5}\times 31$$

12 ga x+5 ni ko'paytirish orqali distributiv xususiyatdan foydalanish.

$$12x+60\leq \frac{4}{5}\times 31$$

\frac{4}{5}\times 31 ni yagona kasrga aylantiring.

$$12x+60\leq \frac{4\times 31}{5}$$

124 hosil qilish uchun 4 va 31 ni ko'paytirish.

$$12x+60\leq \frac{124}{5}$$

Ikkala tarafdan 60 ni ayirish.

$$12x\leq \frac{124}{5}-60$$

60 ni \frac{300}{5} kasrga o‘giring.

$$12x\leq \frac{124}{5}-\frac{300}{5}$$

\frac{124}{5} va \frac{300}{5} da bir xil maxraji bor, ularning suratini ayirish orqali ayiring.

$$12x\leq \frac{124-300}{5}$$

-176 olish uchun 124 dan 300 ni ayirish.

$$12x\leq -\frac{176}{5}$$

Ikki tarafini 12 ga bo‘ling. 12 musbat bo‘lgani uchun, tengsizlik yo‘nalishi o‘zgarmaydi.

$$x\leq \frac{-\frac{176}{5}}{12}$$

\frac{-\frac{176}{5}}{12} ni yagona kasrga aylantiring.

$$x\leq \frac{-176}{5\times 12}$$

60 hosil qilish uchun 5 va 12 ni ko'paytirish.

$$x\leq \frac{-176}{60}$$

\frac{-176}{60} ulushini 4 ni chiqarib, bekor qilish hisobiga eng past shartlarga kamaytiring.

$$x\leq -\frac{44}{15}$$