6x-1geq2(x-5)+1 eching

$$6 x - 1 \geq 2 ( x - 5 ) + 1$$

x uchun yechish

$$x\geq -2$$

Yechim qadamlari

2 ga x-5 ni ko'paytirish orqali distributiv xususiyatdan foydalanish.

$$6x-1\geq 2x-10+1$$

-9 olish uchun -10 va 1'ni qo'shing.

$$6x-1\geq 2x-9$$

Ikkala tarafdan 2x ni ayirish.

$$6x-1-2x\geq -9$$

4x ni olish uchun 6x va -2x ni birlashtirish.

$$4x-1\geq -9$$

1 ni ikki tarafga qo’shing.

$$4x\geq -9+1$$

-8 olish uchun -9 va 1'ni qo'shing.

$$4x\geq -8$$

Ikki tarafini 4 ga bo‘ling. 4 musbat bo‘lgani uchun, tengsizlik yo‘nalishi o‘zgarmaydi.

$$x\geq \frac{-8}{4}$$

-2 ni olish uchun -8 ni 4 ga bo‘ling.

$$x\geq -2$$