7*3-x+3/4<x+1 eching

$$7 \times 3 - \frac { x + 3 } { 4 } < x + 1$$

x uchun yechish

$$x>\frac{77}{5}$$

Yechim qadamlari

Tenglamaning ikkala tarafini 4 ga ko'paytirish. 4 musbat bo‘lgani uchun, tengsizlik yo‘nalishi o‘zgarmaydi.

$$28\times 3-\left(x+3\right)<4x+4$$

84 hosil qilish uchun 28 va 3 ni ko'paytirish.

$$84-\left(x+3\right)<4x+4$$

x+3 teskarisini topish uchun har birining teskarisini toping.

$$84-x-3<4x+4$$

81 olish uchun 84 dan 3 ni ayirish.

$$81-x<4x+4$$

Ikkala tarafdan 4x ni ayirish.

$$81-x-4x<4$$

-5x ni olish uchun -x va -4x ni birlashtirish.

$$81-5x<4$$

Ikkala tarafdan 81 ni ayirish.

$$-5x<4-81$$

-77 olish uchun 4 dan 81 ni ayirish.

$$-5x<-77$$

Ikki tarafini -5 ga bo‘ling. -5 manfiy boʻlgani uchun tengsizlikning yo‘nalishi o‘zgaradi.

$$x>\frac{-77}{-5}$$

Ikkala surat va maxrajdan manfiy belgini olib tashlash bilan \frac{-77}{-5} kasrini \frac{77}{5} ga soddalashtirish mumkin.

$$x>\frac{77}{5}$$