-3p-2<1/2p eching

$$- 3 p - 2 < \frac { 1 } { 2 } p$$

p uchun yechish

$$p>-\frac{4}{7}$$

Yechim qadamlari

Ikkala tarafdan \frac{1}{2}p ni ayirish.

$$-3p-2-\frac{1}{2}p<0$$

-\frac{7}{2}p ni olish uchun -3p va -\frac{1}{2}p ni birlashtirish.

$$-\frac{7}{2}p-2<0$$

2 ni ikki tarafga qo’shing. Har qanday songa nolni qo‘shsangiz, o‘zi chiqadi.

$$-\frac{7}{2}p<2$$

Ikki tarafini -\frac{2}{7} va teskari kasri -\frac{7}{2} ga ko‘paytiring. -\frac{7}{2} manfiy boʻlgani uchun tengsizlikning yo‘nalishi o‘zgaradi.

$$p>2\left(-\frac{2}{7}\right)$$

2\left(-\frac{2}{7}\right) ni yagona kasrga aylantiring.

$$p>\frac{2\left(-2\right)}{7}$$

-4 hosil qilish uchun 2 va -2 ni ko'paytirish.

$$p>\frac{-4}{7}$$

\frac{-4}{7} kasri manfiy belgini olib tashlash bilan -\frac{4}{7} sifatida qayta yozilishi mumkin.

$$p>-\frac{4}{7}$$