4(2x+1)-10xleq4x-74 eching

$$4 ( 2 x + 1 ) - 10 x \leq 4 x - 74$$

x uchun yechish

$$x\geq 13$$

Yechim qadamlari

4 ga 2x+1 ni ko'paytirish orqali distributiv xususiyatdan foydalanish.

$$8x+4-10x\leq 4x-74$$

-2x ni olish uchun 8x va -10x ni birlashtirish.

$$-2x+4\leq 4x-74$$

Ikkala tarafdan 4x ni ayirish.

$$-2x+4-4x\leq -74$$

-6x ni olish uchun -2x va -4x ni birlashtirish.

$$-6x+4\leq -74$$

Ikkala tarafdan 4 ni ayirish.

$$-6x\leq -74-4$$

-78 olish uchun -74 dan 4 ni ayirish.

$$-6x\leq -78$$

Ikki tarafini -6 ga bo‘ling. -6 manfiy boʻlgani uchun tengsizlikning yo‘nalishi o‘zgaradi.

$$x\geq \frac{-78}{-6}$$

13 ni olish uchun -78 ni -6 ga bo‘ling.

$$x\geq 13$$