12-4/5(5x-15)leq4/7(14x+105) eching

$$12 - \frac { 4 } { 5 } ( 5 x - 15 ) \leq \frac { 4 } { 7 } ( 14 x + 105 )$$

x uchun yechish

$$x\geq -3$$

Yechim qadamlari

-\frac{4}{5} ga 5x-15 ni ko'paytirish orqali distributiv xususiyatdan foydalanish.

$$12-\frac{4}{5}\times 5x-\frac{4}{5}\left(-15\right)\leq \frac{4}{7}\left(14x+105\right)$$

5 va 5 ni qisqartiring.

$$12-4x-\frac{4}{5}\left(-15\right)\leq \frac{4}{7}\left(14x+105\right)$$

-\frac{4}{5}\left(-15\right) ni yagona kasrga aylantiring.

$$12-4x+\frac{-4\left(-15\right)}{5}\leq \frac{4}{7}\left(14x+105\right)$$

60 hosil qilish uchun -4 va -15 ni ko'paytirish.

$$12-4x+\frac{60}{5}\leq \frac{4}{7}\left(14x+105\right)$$

12 ni olish uchun 60 ni 5 ga bo‘ling.

$$12-4x+12\leq \frac{4}{7}\left(14x+105\right)$$

24 olish uchun 12 va 12'ni qo'shing.

$$24-4x\leq \frac{4}{7}\left(14x+105\right)$$

\frac{4}{7} ga 14x+105 ni ko'paytirish orqali distributiv xususiyatdan foydalanish.

$$24-4x\leq \frac{4}{7}\times 14x+\frac{4}{7}\times 105$$

\frac{4}{7}\times 14 ni yagona kasrga aylantiring.

$$24-4x\leq \frac{4\times 14}{7}x+\frac{4}{7}\times 105$$

56 hosil qilish uchun 4 va 14 ni ko'paytirish.

$$24-4x\leq \frac{56}{7}x+\frac{4}{7}\times 105$$

8 ni olish uchun 56 ni 7 ga bo‘ling.

$$24-4x\leq 8x+\frac{4}{7}\times 105$$

\frac{4}{7}\times 105 ni yagona kasrga aylantiring.

$$24-4x\leq 8x+\frac{4\times 105}{7}$$

420 hosil qilish uchun 4 va 105 ni ko'paytirish.

$$24-4x\leq 8x+\frac{420}{7}$$

60 ni olish uchun 420 ni 7 ga bo‘ling.

$$24-4x\leq 8x+60$$

Ikkala tarafdan 8x ni ayirish.

$$24-4x-8x\leq 60$$

-12x ni olish uchun -4x va -8x ni birlashtirish.

$$24-12x\leq 60$$

Ikkala tarafdan 24 ni ayirish.

$$-12x\leq 60-24$$

36 olish uchun 60 dan 24 ni ayirish.

$$-12x\leq 36$$

Ikki tarafini -12 ga bo‘ling. -12 <0 bo‘lganda, tengsizlikning yo‘nalishi o‘zgargan bo‘ladi.

$$x\geq \frac{36}{-12}$$

-3 ni olish uchun 36 ni -12 ga bo‘ling.

$$x\geq -3$$