-4/9u-2leq7/6u+1/9 eching

$$- \frac { 4 } { 9 } u - 2 \leq \frac { 7 } { 6 } u + \frac { 1 } { 9 }$$

u uchun yechish

$$u\geq -\frac{38}{29}$$

Yechim qadamlari

Ikkala tarafdan \frac{7}{6}u ni ayirish.

$$-\frac{4}{9}u-2-\frac{7}{6}u\leq \frac{1}{9}$$

-\frac{29}{18}u ni olish uchun -\frac{4}{9}u va -\frac{7}{6}u ni birlashtirish.

$$-\frac{29}{18}u-2\leq \frac{1}{9}$$

2 ni ikki tarafga qo’shing.

$$-\frac{29}{18}u\leq \frac{1}{9}+2$$

2 ni \frac{18}{9} kasrga o‘giring.

$$-\frac{29}{18}u\leq \frac{1}{9}+\frac{18}{9}$$

\frac{1}{9} va \frac{18}{9} da bir xil maxraji bor, ularning suratini qo‘shish orqali qo‘shing.

$$-\frac{29}{18}u\leq \frac{1+18}{9}$$

19 olish uchun 1 va 18'ni qo'shing.

$$-\frac{29}{18}u\leq \frac{19}{9}$$

Ikki tarafini -\frac{18}{29} va teskari kasri -\frac{29}{18} ga ko‘paytiring. -\frac{29}{18} manfiy boʻlgani uchun tengsizlikning yo‘nalishi o‘zgaradi.

$$u\geq \frac{19}{9}\left(-\frac{18}{29}\right)$$

Suratni maxrajga va maxrajini suratga ko‘paytirish orqali \frac{19}{9} ni -\frac{18}{29} ga ko‘paytiring.

$$u\geq \frac{19\left(-18\right)}{9\times 29}$$

\frac{19\left(-18\right)}{9\times 29} kasridagi ko‘paytirishlarni bajaring.

$$u\geq \frac{-342}{261}$$

\frac{-342}{261} ulushini 9 ni chiqarib, bekor qilish hisobiga eng past shartlarga kamaytiring.

$$u\geq -\frac{38}{29}$$