x-1/2<x eching

$$\frac { x - 1 } { 2 } < x$$

x uchun yechish

$$x>-1$$

Yechim qadamlari

\frac{1}{2}x-\frac{1}{2} natijani olish uchun x-1 ning har bir ifodasini 2 ga bo‘ling.

$$\frac{1}{2}x-\frac{1}{2}<x$$

Ikkala tarafdan x ni ayirish.

$$\frac{1}{2}x-\frac{1}{2}-x<0$$

-\frac{1}{2}x ni olish uchun \frac{1}{2}x va -x ni birlashtirish.

$$-\frac{1}{2}x-\frac{1}{2}<0$$

\frac{1}{2} ni ikki tarafga qo’shing. Har qanday songa nolni qo‘shsangiz, o‘zi chiqadi.

$$-\frac{1}{2}x<\frac{1}{2}$$

Ikki tarafini -2 va teskari kasri -\frac{1}{2} ga ko‘paytiring. -\frac{1}{2} manfiy boʻlgani uchun tengsizlikning yo‘nalishi o‘zgaradi.

$$x>\frac{1}{2}\left(-2\right)$$

\frac{-2}{2} hosil qilish uchun \frac{1}{2} va -2 ni ko'paytirish.

$$x>\frac{-2}{2}$$

-1 ni olish uchun -2 ni 2 ga bo‘ling.

$$x>-1$$