2(x+5)-4>-5(x-5)+9 eching

$$2 ( x + 5 ) - 4 > - 5 ( x - 5 ) + 9$$

x uchun yechish

$$x>4$$

Yechim qadamlari

2 ga x+5 ni ko'paytirish orqali distributiv xususiyatdan foydalanish.

$$2x+10-4>-5\left(x-5\right)+9$$

6 olish uchun 10 dan 4 ni ayirish.

$$2x+6>-5\left(x-5\right)+9$$

-5 ga x-5 ni ko'paytirish orqali distributiv xususiyatdan foydalanish.

$$2x+6>-5x+25+9$$

34 olish uchun 25 va 9'ni qo'shing.

$$2x+6>-5x+34$$

5x ni ikki tarafga qo’shing.

$$2x+6+5x>34$$

7x ni olish uchun 2x va 5x ni birlashtirish.

$$7x+6>34$$

Ikkala tarafdan 6 ni ayirish.

$$7x>34-6$$

28 olish uchun 34 dan 6 ni ayirish.

$$7x>28$$

Ikki tarafini 7 ga bo‘ling. 7 musbat bo‘lgani uchun, tengsizlik yo‘nalishi o‘zgarmaydi.

$$x>\frac{28}{7}$$

4 ni olish uchun 28 ni 7 ga bo‘ling.

$$x>4$$