2(2t-3)leq23(t-1) eching

$$2 ( 2 t - 3 ) \leq 23 ( t - 1 )$$

t uchun yechish

$$t\geq \frac{17}{19}$$

Yechim qadamlari

2 ga 2t-3 ni ko'paytirish orqali distributiv xususiyatdan foydalanish.

$$4t-6\leq 23\left(t-1\right)$$

23 ga t-1 ni ko'paytirish orqali distributiv xususiyatdan foydalanish.

$$4t-6\leq 23t-23$$

Ikkala tarafdan 23t ni ayirish.

$$4t-6-23t\leq -23$$

-19t ni olish uchun 4t va -23t ni birlashtirish.

$$-19t-6\leq -23$$

6 ni ikki tarafga qo’shing.

$$-19t\leq -23+6$$

-17 olish uchun -23 va 6'ni qo'shing.

$$-19t\leq -17$$

Ikki tarafini -19 ga bo‘ling. -19 manfiy boʻlgani uchun tengsizlikning yo‘nalishi o‘zgaradi.

$$t\geq \frac{-17}{-19}$$

Ikkala surat va maxrajdan manfiy belgini olib tashlash bilan \frac{-17}{-19} kasrini \frac{17}{19} ga soddalashtirish mumkin.

$$t\geq \frac{17}{19}$$