12(x+1)+3x-5<7(x+1) eching

$$12 ( x + 1 ) + 3 x - 5 < 7 ( x + 1 )$$

x uchun yechish

$$x<0$$

Yechim qadamlari

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

$$12x+12+3x-5<7\left(x+1\right)$$

15x ni olish uchun 12x va 3x ni birlashtirish.

$$15x+12-5<7\left(x+1\right)$$

7 olish uchun 12 dan 5 ni ayirish.

$$15x+7<7\left(x+1\right)$$

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

$$15x+7<7x+7$$

Ikkala tarafdan 7x ni ayirish.

$$15x+7-7x<7$$

8x ni olish uchun 15x va -7x ni birlashtirish.

$$8x+7<7$$

Ikkala tarafdan 7 ni ayirish.

$$8x<7-7$$

0 olish uchun 7 dan 7 ni ayirish.

$$8x<0$$

Ikki sonning koʻpaytmasi <0 bo‘ladi, agar bittasi >0 va ikkinchisi <0 bo‘lsa. 8>0 bo‘lganda, x <0 bo‘lishi kerak.

$$x<0$$