-4(1-x)+x>-(5-2x)+5 eching

$$- 4 ( 1 - x ) + x > - ( 5 - 2 x ) + 5$$

x uchun yechish

$$x>\frac{4}{3}$$

Yechim qadamlari

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

$$-4+4x+x>-\left(5-2x\right)+5$$

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

$$-4+5x>-\left(5-2x\right)+5$$

5-2x teskarisini topish uchun har birining teskarisini toping.

$$-4+5x>-5-\left(-2x\right)+5$$

-2x ning teskarisi 2x ga teng.

$$-4+5x>-5+2x+5$$

0 olish uchun -5 va 5'ni qo'shing.

$$-4+5x>2x$$

Ikkala tarafdan 2x ni ayirish.

$$-4+5x-2x>0$$

3x ni olish uchun 5x va -2x ni birlashtirish.

$$-4+3x>0$$

4 ni ikki tarafga qo’shing. Har qanday songa nolni qo‘shsangiz, o‘zi chiqadi.

$$3x>4$$

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

$$x>\frac{4}{3}$$