Issolvi 12-4/5(5x-15)leq4/7(14x+105)

$$12 - \frac { 4 } { 5 } ( 5 x - 15 ) \leq \frac { 4 } { 7 } ( 14 x + 105 )$$

Solvi għal x

$$x\geq -3$$

Passi tas-Soluzzjonijiet

Uża l-propjetà distributtiva biex timmultiplika -\frac{4}{5} b'5x-15.

$$12-\frac{4}{5}\times 5x-\frac{4}{5}\left(-15\right)\leq \frac{4}{7}\left(14x+105\right)$$

Annulla 5 u 5.

$$12-4x-\frac{4}{5}\left(-15\right)\leq \frac{4}{7}\left(14x+105\right)$$

Esprimi -\frac{4}{5}\left(-15\right) bħala frazzjoni waħda.

$$12-4x+\frac{-4\left(-15\right)}{5}\leq \frac{4}{7}\left(14x+105\right)$$

Immultiplika -4 u -15 biex tikseb 60.

$$12-4x+\frac{60}{5}\leq \frac{4}{7}\left(14x+105\right)$$

Iddividi 60 b'5 biex tikseb12.

$$12-4x+12\leq \frac{4}{7}\left(14x+105\right)$$

Żid 12 u 12 biex tikseb 24.

$$24-4x\leq \frac{4}{7}\left(14x+105\right)$$

Uża l-propjetà distributtiva biex timmultiplika \frac{4}{7} b'14x+105.

$$24-4x\leq \frac{4}{7}\times 14x+\frac{4}{7}\times 105$$

Esprimi \frac{4}{7}\times 14 bħala frazzjoni waħda.

$$24-4x\leq \frac{4\times 14}{7}x+\frac{4}{7}\times 105$$

Immultiplika 4 u 14 biex tikseb 56.

$$24-4x\leq \frac{56}{7}x+\frac{4}{7}\times 105$$

Iddividi 56 b'7 biex tikseb8.

$$24-4x\leq 8x+\frac{4}{7}\times 105$$

Esprimi \frac{4}{7}\times 105 bħala frazzjoni waħda.

$$24-4x\leq 8x+\frac{4\times 105}{7}$$

Immultiplika 4 u 105 biex tikseb 420.

$$24-4x\leq 8x+\frac{420}{7}$$

Iddividi 420 b'7 biex tikseb60.

$$24-4x\leq 8x+60$$

Naqqas 8x miż-żewġ naħat.

$$24-4x-8x\leq 60$$

Ikkombina -4x u -8x biex tikseb -12x.

$$24-12x\leq 60$$

Naqqas 24 miż-żewġ naħat.

$$-12x\leq 60-24$$

Naqqas 24 minn 60 biex tikseb 36.

$$-12x\leq 36$$

Iddividi ż-żewġ naħat b'-12. Peress li -12 huwa negattiv, id-direzzjoni tal-inugwaljanza inbidlet.

$$x\geq \frac{36}{-12}$$

Iddividi 36 b'-12 biex tikseb-3.

$$x\geq -3$$