2(3x-2)-5x+7leq2(x+1) eching

$$2 ( 3 x - 2 ) - 5 x + 7 \leq 2 ( x + 1 )$$

x uchun yechish

$$x\geq 1$$

Yechim qadamlari

2 ga 3x-2 ni ko'paytirish orqali distributiv xususiyatdan foydalanish.

$$6x-4-5x+7\leq 2\left(x+1\right)$$

x ni olish uchun 6x va -5x ni birlashtirish.

$$x-4+7\leq 2\left(x+1\right)$$

3 olish uchun -4 va 7'ni qo'shing.

$$x+3\leq 2\left(x+1\right)$$

2 ga x+1 ni ko'paytirish orqali distributiv xususiyatdan foydalanish.

$$x+3\leq 2x+2$$

Ikkala tarafdan 2x ni ayirish.

$$x+3-2x\leq 2$$

-x ni olish uchun x va -2x ni birlashtirish.

$$-x+3\leq 2$$

Ikkala tarafdan 3 ni ayirish.

$$-x\leq 2-3$$

-1 olish uchun 2 dan 3 ni ayirish.

$$-x\leq -1$$

Ikki tarafini -1 ga bo‘ling. -1 manfiy boʻlgani uchun tengsizlikning yo‘nalishi o‘zgaradi.

$$x\geq \frac{-1}{-1}$$

1 ni olish uchun -1 ni -1 ga bo‘ling.

$$x\geq 1$$