4x+1/7-x+1/2geq-3/3 eching

$$\frac { 4 x + 1 } { 7 } - \frac { x + 1 } { 2 } \geq \frac { - 3 } { 3 }$$

x uchun yechish

$$x\geq -9$$

Yechim qadamlari

Tenglamaning ikkala tarafini 42 ga, 7,2,3 ning eng kichik karralisiga ko‘paytiring. 42 musbat bo‘lgani uchun, tengsizlik yo‘nalishi o‘zgarmaydi.

$$6\left(4x+1\right)-21\left(x+1\right)\geq 14\left(-3\right)$$

6 ga 4x+1 ni ko'paytirish orqali distributiv xususiyatdan foydalanish.

$$24x+6-21\left(x+1\right)\geq 14\left(-3\right)$$

-21 ga x+1 ni ko'paytirish orqali distributiv xususiyatdan foydalanish.

$$24x+6-21x-21\geq 14\left(-3\right)$$

3x ni olish uchun 24x va -21x ni birlashtirish.

$$3x+6-21\geq 14\left(-3\right)$$

-15 olish uchun 6 dan 21 ni ayirish.

$$3x-15\geq 14\left(-3\right)$$

-42 hosil qilish uchun 14 va -3 ni ko'paytirish.

$$3x-15\geq -42$$

15 ni ikki tarafga qo’shing.

$$3x\geq -42+15$$

-27 olish uchun -42 va 15'ni qo'shing.

$$3x\geq -27$$

Ikki tarafini 3 ga bo‘ling. 3 musbat bo‘lgani uchun, tengsizlik yo‘nalishi o‘zgarmaydi.

$$x\geq \frac{-27}{3}$$

-9 ni olish uchun -27 ni 3 ga bo‘ling.

$$x\geq -9$$