5(2x-8)geq3(x+5) eching

$$5 ( 2 x - 8 ) \geq 3 ( x + 5 )$$

x uchun yechish

$$x\geq \frac{55}{7}$$

Yechim qadamlari

5 ga 2x-8 ni ko'paytirish orqali distributiv xususiyatdan foydalanish.

$$10x-40\geq 3\left(x+5\right)$$

3 ga x+5 ni ko'paytirish orqali distributiv xususiyatdan foydalanish.

$$10x-40\geq 3x+15$$

Ikkala tarafdan 3x ni ayirish.

$$10x-40-3x\geq 15$$

7x ni olish uchun 10x va -3x ni birlashtirish.

$$7x-40\geq 15$$

40 ni ikki tarafga qo’shing.

$$7x\geq 15+40$$

55 olish uchun 15 va 40'ni qo'shing.

$$7x\geq 55$$

Ikki tarafini 7 ga bo‘ling. 7 musbat bo‘lgani uchun, tengsizlik yo‘nalishi o‘zgarmaydi.

$$x\geq \frac{55}{7}$$