5(2g-3)-6ggeq-2(g-6)+3 eching

$$5 ( 2 g - 3 ) - 6 g \geq - 2 ( g - 6 ) + 3$$

g uchun yechish

$$g\geq 5$$

Yechim qadamlari

5 ga 2g-3 ni ko'paytirish orqali distributiv xususiyatdan foydalanish.

$$10g-15-6g\geq -2\left(g-6\right)+3$$

4g ni olish uchun 10g va -6g ni birlashtirish.

$$4g-15\geq -2\left(g-6\right)+3$$

-2 ga g-6 ni ko'paytirish orqali distributiv xususiyatdan foydalanish.

$$4g-15\geq -2g+12+3$$

15 olish uchun 12 va 3'ni qo'shing.

$$4g-15\geq -2g+15$$

2g ni ikki tarafga qo’shing.

$$4g-15+2g\geq 15$$

6g ni olish uchun 4g va 2g ni birlashtirish.

$$6g-15\geq 15$$

15 ni ikki tarafga qo’shing.

$$6g\geq 15+15$$

30 olish uchun 15 va 15'ni qo'shing.

$$6g\geq 30$$

Ikki tarafini 6 ga bo‘ling. 6 >0 bo‘lganda, tengsizlikning yo‘nalishi o‘zgarmasdan qoladi.

$$g\geq \frac{30}{6}$$

5 ni olish uchun 30 ni 6 ga bo‘ling.

$$g\geq 5$$