16/5a+37/10(20-a)leq50 eching

$$\frac { 16 } { 5 } a + \frac { 37 } { 10 } ( 20 - a ) \leq 50$$

a uchun yechish

$$a\geq 48$$

Yechim qadamlari

\frac{37}{10} ga 20-a ni ko'paytirish orqali distributiv xususiyatdan foydalanish.

$$\frac{16}{5}a+\frac{37}{10}\times 20+\frac{37}{10}\left(-1\right)a\leq 50$$

\frac{37}{10}\times 20 ni yagona kasrga aylantiring.

$$\frac{16}{5}a+\frac{37\times 20}{10}+\frac{37}{10}\left(-1\right)a\leq 50$$

740 hosil qilish uchun 37 va 20 ni ko'paytirish.

$$\frac{16}{5}a+\frac{740}{10}+\frac{37}{10}\left(-1\right)a\leq 50$$

74 ni olish uchun 740 ni 10 ga bo‘ling.

$$\frac{16}{5}a+74+\frac{37}{10}\left(-1\right)a\leq 50$$

-\frac{37}{10} hosil qilish uchun \frac{37}{10} va -1 ni ko'paytirish.

$$\frac{16}{5}a+74-\frac{37}{10}a\leq 50$$

-\frac{1}{2}a ni olish uchun \frac{16}{5}a va -\frac{37}{10}a ni birlashtirish.

$$-\frac{1}{2}a+74\leq 50$$

Ikkala tarafdan 74 ni ayirish.

$$-\frac{1}{2}a\leq 50-74$$

-24 olish uchun 50 dan 74 ni ayirish.

$$-\frac{1}{2}a\leq -24$$

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

$$a\geq -24\left(-2\right)$$

48 hosil qilish uchun -24 va -2 ni ko'paytirish.

$$a\geq 48$$