3-2x+1/5>x+3/4 eching

$$3 - \frac { 2 x + 1 } { 5 } > x + \frac { 3 } { 4 }$$

x uchun yechish

$$x<\frac{41}{28}$$

Yechim qadamlari

Tenglamaning ikkala tarafini 20 ga, 5,4 ning eng kichik karralisiga ko‘paytiring. 20 musbat bo‘lgani uchun, tengsizlik yo‘nalishi o‘zgarmaydi.

$$60-4\left(2x+1\right)>20x+15$$

-4 ga 2x+1 ni ko'paytirish orqali distributiv xususiyatdan foydalanish.

$$60-8x-4>20x+15$$

56 olish uchun 60 dan 4 ni ayirish.

$$56-8x>20x+15$$

Ikkala tarafdan 20x ni ayirish.

$$56-8x-20x>15$$

-28x ni olish uchun -8x va -20x ni birlashtirish.

$$56-28x>15$$

Ikkala tarafdan 56 ni ayirish.

$$-28x>15-56$$

-41 olish uchun 15 dan 56 ni ayirish.

$$-28x>-41$$

Ikki tarafini -28 ga bo‘ling. -28 manfiy boʻlgani uchun tengsizlikning yo‘nalishi o‘zgaradi.

$$x<\frac{-41}{-28}$$

Ikkala surat va maxrajdan manfiy belgini olib tashlash bilan \frac{-41}{-28} kasrini \frac{41}{28} ga soddalashtirish mumkin.

$$x<\frac{41}{28}$$