1/5(x-10)>x-1/10-2-x/15 eching

$$\frac { 1 } { 5 } ( x - 10 ) > \frac { x - 1 } { 10 } - \frac { 2 - x } { 15 }$$

x uchun yechish

$$x>53$$

Yechim qadamlari

Tenglamaning ikkala tarafini 30 ga, 5,10,15 ning eng kichik karralisiga ko‘paytiring. 30 musbat bo‘lgani uchun, tengsizlik yo‘nalishi o‘zgarmaydi.

$$6\left(x-10\right)>3\left(x-1\right)-2\left(2-x\right)$$

6 ga x-10 ni ko'paytirish orqali distributiv xususiyatdan foydalanish.

$$6x-60>3\left(x-1\right)-2\left(2-x\right)$$

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

$$6x-60>3x-3-2\left(2-x\right)$$

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

$$6x-60>3x-3-4+2x$$

-7 olish uchun -3 dan 4 ni ayirish.

$$6x-60>3x-7+2x$$

5x ni olish uchun 3x va 2x ni birlashtirish.

$$6x-60>5x-7$$

Ikkala tarafdan 5x ni ayirish.

$$6x-60-5x>-7$$

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

$$x-60>-7$$

60 ni ikki tarafga qo’shing.

$$x>-7+60$$

53 olish uchun -7 va 60'ni qo'shing.

$$x>53$$