6000+(1-25%)*6000(x-1)<(1-20%)*6000x eching

$$6000+(1-25 \% ) \times 6000(x-1) < (1-20 \% ) \times 6000x$$

x uchun yechish

$$x>5$$

Yechim qadamlari

\frac{25}{100} ulushini 25 ni chiqarib, bekor qilish hisobiga eng past shartlarga kamaytiring.

$$6000+\left(1-\frac{1}{4}\right)\times 6000\left(x-1\right)<\left(1-\frac{20}{100}\right)\times 6000x$$

1 ni \frac{4}{4} kasrga o‘giring.

$$6000+\left(\frac{4}{4}-\frac{1}{4}\right)\times 6000\left(x-1\right)<\left(1-\frac{20}{100}\right)\times 6000x$$

\frac{4}{4} va \frac{1}{4} da bir xil maxraji bor, ularning suratini ayirish orqali ayiring.

$$6000+\frac{4-1}{4}\times 6000\left(x-1\right)<\left(1-\frac{20}{100}\right)\times 6000x$$

3 olish uchun 4 dan 1 ni ayirish.

$$6000+\frac{3}{4}\times 6000\left(x-1\right)<\left(1-\frac{20}{100}\right)\times 6000x$$

\frac{3}{4}\times 6000 ni yagona kasrga aylantiring.

$$6000+\frac{3\times 6000}{4}\left(x-1\right)<\left(1-\frac{20}{100}\right)\times 6000x$$

18000 hosil qilish uchun 3 va 6000 ni ko'paytirish.

$$6000+\frac{18000}{4}\left(x-1\right)<\left(1-\frac{20}{100}\right)\times 6000x$$

4500 ni olish uchun 18000 ni 4 ga bo‘ling.

$$6000+4500\left(x-1\right)<\left(1-\frac{20}{100}\right)\times 6000x$$

4500 ga x-1 ni ko'paytirish orqali distributiv xususiyatdan foydalanish.

$$6000+4500x-4500<\left(1-\frac{20}{100}\right)\times 6000x$$

1500 olish uchun 6000 dan 4500 ni ayirish.

$$1500+4500x<\left(1-\frac{20}{100}\right)\times 6000x$$

\frac{20}{100} ulushini 20 ni chiqarib, bekor qilish hisobiga eng past shartlarga kamaytiring.

$$1500+4500x<\left(1-\frac{1}{5}\right)\times 6000x$$

1 ni \frac{5}{5} kasrga o‘giring.

$$1500+4500x<\left(\frac{5}{5}-\frac{1}{5}\right)\times 6000x$$

\frac{5}{5} va \frac{1}{5} da bir xil maxraji bor, ularning suratini ayirish orqali ayiring.

$$1500+4500x<\frac{5-1}{5}\times 6000x$$

4 olish uchun 5 dan 1 ni ayirish.

$$1500+4500x<\frac{4}{5}\times 6000x$$

\frac{4}{5}\times 6000 ni yagona kasrga aylantiring.

$$1500+4500x<\frac{4\times 6000}{5}x$$

24000 hosil qilish uchun 4 va 6000 ni ko'paytirish.

$$1500+4500x<\frac{24000}{5}x$$

4800 ni olish uchun 24000 ni 5 ga bo‘ling.

$$1500+4500x<4800x$$

Ikkala tarafdan 4800x ni ayirish.

$$1500+4500x-4800x<0$$

-300x ni olish uchun 4500x va -4800x ni birlashtirish.

$$1500-300x<0$$

Ikkala tarafdan 1500 ni ayirish. Har qanday sonni noldan ayirsangiz, o‘zining manfiyi chiqadi.

$$-300x<-1500$$

Ikki tarafini -300 ga bo‘ling. -300 manfiy boʻlgani uchun tengsizlikning yo‘nalishi o‘zgaradi.

$$x>\frac{-1500}{-300}$$

5 ni olish uchun -1500 ni -300 ga bo‘ling.

$$x>5$$