2x-1/4geqx/3+2 eching

$$\frac{ 2x-1 }{ 4 } \geq \frac{ x }{ 3 } +2$$

x uchun yechish

$$x\geq \frac{27}{2}$$

Yechim qadamlari

Tenglamaning ikkala tarafini 12 ga, 4,3 ning eng kichik karralisiga ko‘paytiring. 12 musbat bo‘lgani uchun, tengsizlik yo‘nalishi o‘zgarmaydi.

$$3\left(2x-1\right)\geq 4x+24$$

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

$$6x-3\geq 4x+24$$

Ikkala tarafdan 4x ni ayirish.

$$6x-3-4x\geq 24$$

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

$$2x-3\geq 24$$

3 ni ikki tarafga qo’shing.

$$2x\geq 24+3$$

27 olish uchun 24 va 3'ni qo'shing.

$$2x\geq 27$$

Ikki tarafini 2 ga bo‘ling. 2 musbat bo‘lgani uchun, tengsizlik yo‘nalishi o‘zgarmaydi.

$$x\geq \frac{27}{2}$$