2(y+4)geq7(y-1) eching

$$2 ( y + 4 ) \geq 7 ( y - 1 )$$

y uchun yechish

$$y\leq 3$$

Yechim qadamlari

2 ga y+4 ni ko'paytirish orqali distributiv xususiyatdan foydalanish.

$$2y+8\geq 7\left(y-1\right)$$

7 ga y-1 ni ko'paytirish orqali distributiv xususiyatdan foydalanish.

$$2y+8\geq 7y-7$$

Ikkala tarafdan 7y ni ayirish.

$$2y+8-7y\geq -7$$

-5y ni olish uchun 2y va -7y ni birlashtirish.

$$-5y+8\geq -7$$

Ikkala tarafdan 8 ni ayirish.

$$-5y\geq -7-8$$

-15 olish uchun -7 dan 8 ni ayirish.

$$-5y\geq -15$$

Ikki tarafini -5 ga bo‘ling. -5 manfiy boʻlgani uchun tengsizlikning yo‘nalishi o‘zgaradi.

$$y\leq \frac{-15}{-5}$$

3 ni olish uchun -15 ni -5 ga bo‘ling.

$$y\leq 3$$