x/3-8/7leq3x+2/3 eching

$$\frac { x } { 3 } - \frac { 8 } { 7 } \leq 3 x + \frac { 2 } { 3 }$$

x uchun yechish

$$x\geq -\frac{19}{28}$$

Yechim qadamlari

Tenglamaning ikkala tarafini 21 ga, 3,7 ning eng kichik karralisiga ko‘paytiring. 21 >0 bo‘lganda, tengsizlikning yo‘nalishi o‘zgarmasdan qoladi.

$$7x-24\leq 63x+14$$

Ikkala tarafdan 63x ni ayirish.

$$7x-24-63x\leq 14$$

-56x ni olish uchun 7x va -63x ni birlashtirish.

$$-56x-24\leq 14$$

24 ni ikki tarafga qo’shing.

$$-56x\leq 14+24$$

38 olish uchun 14 va 24'ni qo'shing.

$$-56x\leq 38$$

Ikki tarafini -56 ga bo‘ling. -56 <0 bo‘lganda, tengsizlikning yo‘nalishi o‘zgargan bo‘ladi.

$$x\geq \frac{38}{-56}$$

\frac{38}{-56} ulushini 2 ni chiqarib, bekor qilish hisobiga eng past shartlarga kamaytiring.

$$x\geq -\frac{19}{28}$$