5(24v-1*4)geq-6(08+12v) eching

$$5 ( 24 v - 1 \cdot 4 ) \geq - 6 ( 08 + 12 v )$$

v uchun yechish

$$v\geq \frac{5}{48}$$

Yechim qadamlari

4 hosil qilish uchun 1 va 4 ni ko'paytirish.

$$5\left(24v-4\right)\geq -6\left(0\times 8+12v\right)$$

5 ga 24v-4 ni ko'paytirish orqali distributiv xususiyatdan foydalanish.

$$120v-20\geq -6\left(0\times 8+12v\right)$$

0 hosil qilish uchun 0 va 8 ni ko'paytirish.

$$120v-20\geq -6\times 12v$$

-72 hosil qilish uchun -6 va 12 ni ko'paytirish.

$$120v-20\geq -72v$$

72v ni ikki tarafga qo’shing.

$$120v-20+72v\geq 0$$

192v ni olish uchun 120v va 72v ni birlashtirish.

$$192v-20\geq 0$$

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

$$192v\geq 20$$

Ikki tarafini 192 ga bo‘ling. 192 musbat bo‘lgani uchun, tengsizlik yo‘nalishi o‘zgarmaydi.

$$v\geq \frac{20}{192}$$

\frac{20}{192} ulushini 4 ni chiqarib, bekor qilish hisobiga eng past shartlarga kamaytiring.

$$v\geq \frac{5}{48}$$