4-(2x-1)leq3(4x+1 eching

$$4 - ( 2 x - 1 ) \leq 3 ( 4 x + 1$$

x uchun yechish

$$x\geq \frac{1}{7}$$

Yechim qadamlari

2x-1 teskarisini topish uchun har birining teskarisini toping.

$$4-2x-\left(-1\right)\leq 3\left(4x+1\right)$$

-1 ning teskarisi 1 ga teng.

$$4-2x+1\leq 3\left(4x+1\right)$$

5 olish uchun 4 va 1'ni qo'shing.

$$5-2x\leq 3\left(4x+1\right)$$

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

$$5-2x\leq 12x+3$$

Ikkala tarafdan 12x ni ayirish.

$$5-2x-12x\leq 3$$

-14x ni olish uchun -2x va -12x ni birlashtirish.

$$5-14x\leq 3$$

Ikkala tarafdan 5 ni ayirish.

$$-14x\leq 3-5$$

-2 olish uchun 3 dan 5 ni ayirish.

$$-14x\leq -2$$

Ikki tarafini -14 ga bo‘ling. -14 manfiy boʻlgani uchun tengsizlikning yo‘nalishi o‘zgaradi.

$$x\geq \frac{-2}{-14}$$

\frac{-2}{-14} ulushini -2 ni chiqarib, bekor qilish hisobiga eng past shartlarga kamaytiring.

$$x\geq \frac{1}{7}$$