x+6/7>-1/4 eching

$$\frac{ x+6 }{ 7 } > \frac{ -1 }{ 4 }$$

x uchun yechish

$$x>-\frac{31}{4}$$

Yechim qadamlari

Tenglamaning ikkala tarafini 28 ga, 7,4 ning eng kichik karralisiga ko‘paytiring. 28 musbat bo‘lgani uchun, tengsizlik yo‘nalishi o‘zgarmaydi.

$$4\left(x+6\right)>7\left(-1\right)$$

4 ga x+6 ni ko'paytirish orqali distributiv xususiyatdan foydalanish.

$$4x+24>7\left(-1\right)$$

-7 hosil qilish uchun 7 va -1 ni ko'paytirish.

$$4x+24>-7$$

Ikkala tarafdan 24 ni ayirish.

$$4x>-7-24$$

-31 olish uchun -7 dan 24 ni ayirish.

$$4x>-31$$

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

$$x>-\frac{31}{4}$$