y-1/2-2leq3y-2/5 eching

$$\frac { y - 1 } { 2 } - 2 \leq \frac { 3 y - 2 } { 5 }$$

y uchun yechish

$$y\geq -21$$

Yechim qadamlari

Tenglamaning ikkala tarafini 10 ga, 2,5 ning eng kichik karralisiga ko‘paytiring. 10 >0 bo‘lganda, tengsizlikning yo‘nalishi o‘zgarmasdan qoladi.

$$5\left(y-1\right)-20\leq 2\left(3y-2\right)$$

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

$$5y-5-20\leq 2\left(3y-2\right)$$

-25 olish uchun -5 dan 20 ni ayirish.

$$5y-25\leq 2\left(3y-2\right)$$

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

$$5y-25\leq 6y-4$$

Ikkala tarafdan 6y ni ayirish.

$$5y-25-6y\leq -4$$

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

$$-y-25\leq -4$$

25 ni ikki tarafga qo’shing.

$$-y\leq -4+25$$

21 olish uchun -4 va 25'ni qo'shing.

$$-y\leq 21$$

Ikki tarafini -1 ga bo‘ling. -1 <0 bo‘lganda, tengsizlikning yo‘nalishi o‘zgargan bo‘ladi.

$$y\geq -21$$