52x-5div3<x+1 eching

$$52x-5 \div 3 < x+1$$

x uchun yechish

$$x<\frac{8}{153}$$

Yechim qadamlari

Ikkala tarafdan x ni ayirish.

$$52x-\frac{5}{3}-x<1$$

51x ni olish uchun 52x va -x ni birlashtirish.

$$51x-\frac{5}{3}<1$$

\frac{5}{3} ni ikki tarafga qo’shing.

$$51x<1+\frac{5}{3}$$

1 ni \frac{3}{3} kasrga o‘giring.

$$51x<\frac{3}{3}+\frac{5}{3}$$

\frac{3}{3} va \frac{5}{3} da bir xil maxraji bor, ularning suratini qo‘shish orqali qo‘shing.

$$51x<\frac{3+5}{3}$$

8 olish uchun 3 va 5'ni qo'shing.

$$51x<\frac{8}{3}$$

Ikki tarafini 51 ga bo‘ling. 51 musbat bo‘lgani uchun, tengsizlik yo‘nalishi o‘zgarmaydi.

$$x<\frac{\frac{8}{3}}{51}$$

\frac{\frac{8}{3}}{51} ni yagona kasrga aylantiring.

$$x<\frac{8}{3\times 51}$$

153 hosil qilish uchun 3 va 51 ni ko'paytirish.

$$x<\frac{8}{153}$$