3-11xleq1/4x+6 eching

$$3 - 11 x \leq \frac { 1 } { 4 } x + 6$$

x uchun yechish

$$x\geq -\frac{4}{15}$$

Yechim qadamlari

Ikkala tarafdan \frac{1}{4}x ni ayirish.

$$3-11x-\frac{1}{4}x\leq 6$$

-\frac{45}{4}x ni olish uchun -11x va -\frac{1}{4}x ni birlashtirish.

$$3-\frac{45}{4}x\leq 6$$

Ikkala tarafdan 3 ni ayirish.

$$-\frac{45}{4}x\leq 6-3$$

3 olish uchun 6 dan 3 ni ayirish.

$$-\frac{45}{4}x\leq 3$$

Ikki tarafini -\frac{4}{45} va teskari kasri -\frac{45}{4} ga ko‘paytiring. -\frac{45}{4} manfiy boʻlgani uchun tengsizlikning yo‘nalishi o‘zgaradi.

$$x\geq 3\left(-\frac{4}{45}\right)$$

3\left(-\frac{4}{45}\right) ni yagona kasrga aylantiring.

$$x\geq \frac{3\left(-4\right)}{45}$$

-12 hosil qilish uchun 3 va -4 ni ko'paytirish.

$$x\geq \frac{-12}{45}$$

\frac{-12}{45} ulushini 3 ni chiqarib, bekor qilish hisobiga eng past shartlarga kamaytiring.

$$x\geq -\frac{4}{15}$$