16-2(9x-9)geq3x-8(3-x) eching

$$16 - 2 ( 9 x - 9 ) \geq 3 x - 8 ( 3 - x )$$

x uchun yechish

$$x\leq 2$$

Yechim qadamlari

-2 ga 9x-9 ni ko'paytirish orqali distributiv xususiyatdan foydalanish.

$$16-18x+18\geq 3x-8\left(3-x\right)$$

34 olish uchun 16 va 18'ni qo'shing.

$$34-18x\geq 3x-8\left(3-x\right)$$

-8 ga 3-x ni ko'paytirish orqali distributiv xususiyatdan foydalanish.

$$34-18x\geq 3x-24+8x$$

11x ni olish uchun 3x va 8x ni birlashtirish.

$$34-18x\geq 11x-24$$

Ikkala tarafdan 11x ni ayirish.

$$34-18x-11x\geq -24$$

-29x ni olish uchun -18x va -11x ni birlashtirish.

$$34-29x\geq -24$$

Ikkala tarafdan 34 ni ayirish.

$$-29x\geq -24-34$$

-58 olish uchun -24 dan 34 ni ayirish.

$$-29x\geq -58$$

Ikki tarafini -29 ga bo‘ling. -29 manfiy boʻlgani uchun tengsizlikning yo‘nalishi o‘zgaradi.

$$x\leq \frac{-58}{-29}$$

2 ni olish uchun -58 ni -29 ga bo‘ling.

$$x\leq 2$$