2left(2x-1right)geq7left(x+1right) eching

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

x uchun yechish

$$x\leq -3$$

Yechim qadamlari

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

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

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

$$4x-2\geq 7x+7$$

Ikkala tarafdan 7x ni ayirish.

$$4x-2-7x\geq 7$$

-3x ni olish uchun 4x va -7x ni birlashtirish.

$$-3x-2\geq 7$$

2 ni ikki tarafga qo’shing.

$$-3x\geq 7+2$$

9 olish uchun 7 va 2'ni qo'shing.

$$-3x\geq 9$$

Ikki tarafini -3 ga bo‘ling. -3 manfiy boʻlgani uchun tengsizlikning yo‘nalishi o‘zgaradi.

$$x\leq \frac{9}{-3}$$

-3 ni olish uchun 9 ni -3 ga bo‘ling.

$$x\leq -3$$